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: 7, 19, ['6719', 'c', 'S', '3259', '1287', 'u', '9251', '2183', '4821', '9449', 'I', 'P', 'i', '7597', '8141', 'G', 'j', '8587', '7245', 'G', 'O', 'o', '9479']
Example Output: 57274

Example Input: 6, 15, ['U', 'E', '6873', '7621', '9241', '147', '4503', 'z', '3805', 'n', '4331', '4031', '2585', '9029', 'a', '7537', '975']
Example Output: 28431

Example Input: 1, 3, ['7591', '4095', 'p', 's', 'S']
Example Output:
11686