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Finding the Fourth Proportional to 22,468.62, 31,006.50 and 12,397.15

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Solution

The fourth proportional to 22,468.62, 31,006.50 and 12,397.15 is: 17,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.62 : 31,006.50 = 12,397.15 : x
  2. Step 2: Convert to fraction form
    22,468.62/31,006.50 = 12,397.15/x
  3. Step 3: Cross multiply
    22,468.62x = 31,006.50 × 12,397.15
  4. Step 4: Simplify right side
    22,468.62x = 384,392,231.48
  5. Step 5: Solve for x
    x = 384,392,231.48/22,468.62
  6. Step 6: Final answer
    x = 17,107.96

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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.