Cultural clash

This morning I experienced an amusing culture clash.
We were four colleagues who had arrived simultaneously at the front door of our offices. The senior board member (a Swede) among us was quickest to pull out his magnetic entry card and hold the door open for the rest of us. All of a sudden my younger Chinese colleague backed into me, whereupon I nearly overturned the poor young Swedish colleague behind me. Instinctively grabbing a hold of my younger Chinese colleague for balance, I (typical American?) proceeded to push her in front of me through the door, ahead of our junior Swede.
My young Chinese colleague was of course flustered because she had not been the first to open the door for her senior colleagues, and in her failure to follow Asian protocol she at least wanted to be the last of us three remaining to enter. We all know that some (especially older) Swedes are chivalrous and that most Americans are pushy, right? Once we had all managed to enter the reception without setting off the alarm, we could laugh over a quick cultural debrief. Needlesstosay, I am privileged to work where the ceiling is high and a ubiquitous sense of humor prevails.