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Finding the Fourth Proportional to 16,474.71, 22,772.47 and 15,166.87

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Solution

The fourth proportional to 16,474.71, 22,772.47 and 15,166.87 is: 20,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.71 : 22,772.47 = 15,166.87 : x
  2. Step 2: Convert to fraction form
    16,474.71/22,772.47 = 15,166.87/x
  3. Step 3: Cross multiply
    16,474.71x = 22,772.47 × 15,166.87
  4. Step 4: Simplify right side
    16,474.71x = 345,387,092.07
  5. Step 5: Solve for x
    x = 345,387,092.07/16,474.71
  6. Step 6: Final answer
    x = 20,964.68

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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.