Membership Type dropdown list is not sorted properly on New Membership page

Problem occurs here (substituted valid cid value):

civicrm/contact/view/membership?reset=1&action=add&cid=9999&context=membership

See attached image for location of problem

To reproduce:

1. Find an Organizational contact
2. Go to "Memberships" tab
3. Click "New Membership" button
4. Near top of page, select "Membership Organization" from first dropdown list
5. Click second dropdown list for "Membership Type"
6. Observe order of "Membership Type" choices
7. In another browser tab, go to "Membership Types" admin page:

civicrm/admin/member/membershipType&reset=1

8. Observe list of Membership Types. Probably not the same as order observed in step (6) above.

If in your case they are in the same order, change the order now, clear civicrm_cache, and repeat steps 1-6 above. The sort order is not updated.