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: 15, 20, ['o', '7647', 'E', '5963', 'Y', 'B', 'F', 'v', '9553', 'h', 'B', 'L', '8709', '5253', '9337', 'r', '6107', '3099', '8217', '7597', '9571', '5453', '8367']
Example Output: 34357

Example Input: 1, 11, ['q', 'q', 'P', '4335', 'l', 'k', 'D', 'R', '719', 'g', '855', 'l', '6639', '7935', '8407', 'A', 'H', '8357', '759', 'i', '1205', 'B', 'Q', 'V', '359', '4565', '9975', 'g', 'h', '9585']
Example Output: 5909

Example Input: 1, 3, ['7641', '5147', '995', 's', '6697']
Example Output:
13783