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.

Example Input: 4, 5, ['1427', '7597', '765', 't', '7057', 'f', 'B', 'k']
Example Output: 7057

Example Input: 24, 27, ['7541', '8415', '3387', 'J', 'U', '1485', 'p', 'c', 'b', 'O', 'm', '4993', '499', '3927', 'e', 'h', 'g', 'x', '5859', 'y', '2543', '1769', '4715', '8359', '9225', '5191', 'T', 'U', 'm', '6157']
Example Output: 22775

Example Input: 2, 8, ['809', 'l', '7557', 'Y', 'L', '9143', 'k', 'G', 'A', '5241', '3955', '649', 'R', '1389', 'T', 'R', 'a', '4743', 'v']
Example Output:
16700