Vista - Newly created admin account does not have access to folder owned by Administrators

I needed to restrict some directories in my disks to admin-only access, so I cleared the Users and Authenticated Users permissions to the folders using the built-in Administrator account. The problem is after creating a new admin account, the new one does not have access to those folders even though it is part of the Administrators group, and only the built-in admin can still access it. Instead, Vista prompts me to acquire permissions for that account.

I reproduced the problem on a test folder, and found out that acquiring permissions via Vista's prompt gives permissions specific to that account. It works, but it's messy when I have to add new admin accounts in the future.

How do I modify permissions so that anyone under the Administrators group immediately has access to such folders?

Thanks.