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

16, 22, ['F', '197', '9799', 'W', '9967', 'V', '9955', '5143', 't', 'f', '749', 'N', 'b', '8049', 'W', '6835', '8007', 'm', '7233', 'B', 'I', '599', '6101', 'G', 'i', '2271', 'h', 'P']
22674

4, 8, ['t', 'u', '4053', '9871', '5305', '2131', 'J', 'M', '4793']

17307