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Finding the Fourth Proportional to 22,521.29, 31,078.15 and 12,449.12

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Solution

The fourth proportional to 22,521.29, 31,078.15 and 12,449.12 is: 17,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.29 : 31,078.15 = 12,449.12 : x
  2. Step 2: Convert to fraction form
    22,521.29/31,078.15 = 12,449.12/x
  3. Step 3: Cross multiply
    22,521.29x = 31,078.15 × 12,449.12
  4. Step 4: Simplify right side
    22,521.29x = 386,895,432.21
  5. Step 5: Solve for x
    x = 386,895,432.21/22,521.29
  6. Step 6: Final answer
    x = 17,179.10

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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.