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Finding the Fourth Proportional to 29,685.62, 40,966.16 and 16,257.14

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Solution

The fourth proportional to 29,685.62, 40,966.16 and 16,257.14 is: 22,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.62 : 40,966.16 = 16,257.14 : x
  2. Step 2: Convert to fraction form
    29,685.62/40,966.16 = 16,257.14/x
  3. Step 3: Cross multiply
    29,685.62x = 40,966.16 × 16,257.14
  4. Step 4: Simplify right side
    29,685.62x = 665,992,312.27
  5. Step 5: Solve for x
    x = 665,992,312.27/29,685.62
  6. Step 6: Final answer
    x = 22,434.85

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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.