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Finding the Fourth Proportional to 22,981.92, 31,723.02 and 14,489.88

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Solution

The fourth proportional to 22,981.92, 31,723.02 and 14,489.88 is: 20,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.92 : 31,723.02 = 14,489.88 : x
  2. Step 2: Convert to fraction form
    22,981.92/31,723.02 = 14,489.88/x
  3. Step 3: Cross multiply
    22,981.92x = 31,723.02 × 14,489.88
  4. Step 4: Simplify right side
    22,981.92x = 459,662,753.04
  5. Step 5: Solve for x
    x = 459,662,753.04/22,981.92
  6. Step 6: Final answer
    x = 20,001.06

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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.