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Finding the Fourth Proportional to 15,716.87, 21,689.49 and 9,002.49

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Solution

The fourth proportional to 15,716.87, 21,689.49 and 9,002.49 is: 12,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.87 : 21,689.49 = 9,002.49 : x
  2. Step 2: Convert to fraction form
    15,716.87/21,689.49 = 9,002.49/x
  3. Step 3: Cross multiply
    15,716.87x = 21,689.49 × 9,002.49
  4. Step 4: Simplify right side
    15,716.87x = 195,259,478.60
  5. Step 5: Solve for x
    x = 195,259,478.60/15,716.87
  6. Step 6: Final answer
    x = 12,423.56

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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.