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: 5, 12, ['1699', '6521', '1705', '8871', 'C', '8963', '8657', 'E', '2693', 'e', 'S', 'a', 'M', '289', '6037', '2663', 'w', 'e', 'X', '2973', 'j', 'f', '1609', '2759', 'P', 'l', 'k', '4463']
Example Output: 20313

Example Input: 8, 11, ['5059', '2111', 'E', '8681', '5859', '7293', '9627', 'L', 'N', 'n', 'i']
Example Output: 0

Example Input: 1, 3, ['511', '4389', 'V', '7443', 'R', 'Z', '2811', 'E', 'm', '3753']
Example Output:
4900