Final answer:
By comparing decimals place by place, we find that the statement '17.871 is greater than 17.851' is true, as 7 in the thousandths place is greater than 5.
Step-by-step explanation:
To determine the truth of each statement involving the comparison of numbers, we must examine the numerical value position by position from left to right until we find a difference. When comparing decimal numbers, the number with the larger digit in the farthest left differing position is greater. Let's evaluate each option:
6.483 is not less than 6.453 because at the hundredths place, 8 is greater than 4.
26.359 is not less than 26.357 because at the thousandths place, 9 is greater than 7.
19.322 is not greater than 19.422 because at the hundredths place, 2 is less than 4.
17.871 is greater than 17.851 because at the thousandths place, 7 is greater than 5, making this statement true and the correct answer.