Coincidentally I was having the same issue on the same day you posted your question. After some searching I found that there is a ticket on the Trac website where others are having a similar issue:
http://trac.edgewall.org/ticket/6739
The fix outlined there was virtually the same for me. I've described my setup + version of the fix below:
Running Apache 2.4, with Python 2.7 and Trac 1.0.1 (all 32 bit) on a Win 7 64-bit VM.
For the subversion installation, I used the 1.8.5 Windows installer from Alagazam.net and also the Python 2.7 bindings (win32) for Apache 2.4.
Installed everything as per install guides. Once everything was installed, I copied the libapr-1.dll
file from the Subversion bin directory to the Apache bin directory, replacing the existing version of the file there. Fired up Apache web server to test and all was fine and dandy. Hope this fixes your issue too...