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: 9, 16, ['u', '81', '19', '5877', 'F', '6479', 'v', '4187', 'M', 'a', '4309', 'z', 'u', '55', 'w', 'W', '7471', 'b', 'k', 'W', '8785', 'y', 'n', 'q', 'G']
Example Output: 4364

Example Input: 21, 27, ['2789', '3875', '2351', 'Y', '1127', 'J', 'Z', '5187', 'c', '8115', '3459', 'Y', 'f', 'o', 'L', 'H', '2931', '879', 'L', 'e', '3745', '173', 'v', 'W', '9393', 'Y', '7651']
Example Output: 20962

Example Input: 7, 8, ['t', '2591', 'R', '1211', 'z', '665', '7397', '5393', 'g']
Example Output:
12790