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Finding the Fourth Proportional to 16,476.16, 22,731.84 and 9,402.88

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Solution

The fourth proportional to 16,476.16, 22,731.84 and 9,402.88 is: 12,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.16 : 22,731.84 = 9,402.88 : x
  2. Step 2: Convert to fraction form
    16,476.16/22,731.84 = 9,402.88/x
  3. Step 3: Cross multiply
    16,476.16x = 22,731.84 × 9,402.88
  4. Step 4: Simplify right side
    16,476.16x = 213,744,763.70
  5. Step 5: Solve for x
    x = 213,744,763.70/16,476.16
  6. Step 6: Final answer
    x = 12,972.97

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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.