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Finding the Fourth Proportional to 15,716.98, 21,689.24 and 11,701.74

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Solution

The fourth proportional to 15,716.98, 21,689.24 and 11,701.74 is: 16,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.98 : 21,689.24 = 11,701.74 : x
  2. Step 2: Convert to fraction form
    15,716.98/21,689.24 = 11,701.74/x
  3. Step 3: Cross multiply
    15,716.98x = 21,689.24 × 11,701.74
  4. Step 4: Simplify right side
    15,716.98x = 253,801,847.28
  5. Step 5: Solve for x
    x = 253,801,847.28/15,716.98
  6. Step 6: Final answer
    x = 16,148.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.