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: 1, 2, ['4319', '3495']
Example Output: 7814

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

Example Input: 1, 18, ['5671', '1223', 'A', '2449', 'v', 'g', 'w', 'V', 'r', 'c', '3917', '7049', 'k', '7635', 'd', 'd', 'D', '483', '1179', '3223']
Example Output:
28427