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.

2, 10, ['2797', 'm', '439', '5677', '6719', '1587', 'I', 'I', 'w', '8483', '7341', '341', 'H', 'K', '7727', '4467', 'L']
22905

2, 12, ['2873', '259', 'b', '2009', 'T', '6161', '8637', 'V', 'Z', 'Z', 'q', '6935', '5311']
24001

2, 5, ['j', 'W', 'T', 'S', '111', '5551']

111