In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

2, 5, ['9615', '7859', 'D', 'J', '1471']
9330

8, 9, ['3587', '5903', 'B', '9671', 's', 'A', '7259', '6961', '2601', '9719']
9562

24, 27, ['l', 'J', 'J', 'x', 'Y', '9323', 'e', '767', '5649', '7247', '8431', 'U', 'a', 'N', 'd', 'W', 'u', '347', '4313', '6181', 'v', '1057', 'a', '835', 'i', 'S', 'Q', 'a', 'H']

835