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: 3, 5, ['c', '9619', 'e', 'A', '5045', '2453', 'L', '553', '5493', '5657']
Example Output: 5045

Example Input: 3, 8, ['3403', 'r', '7273', 'g', 'O', 'A', '123', '2839', 'g', 'R', 'f', 'y', 'F']
Example Output: 10235

Example Input: 17, 22, ['D', '7897', '1603', 'L', '5485', 'S', 'V', '1361', 'a', '9131', 'm', 'V', 'l', 'v', 'Z', '4831', '9561', '1185', 'y', 'D', '1853', '2225', 'j', 'r']
Example Output:
14824