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Finding the Fourth Proportional to 22,753.53, 31,402.17 and 12,683.61

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Solution

The fourth proportional to 22,753.53, 31,402.17 and 12,683.61 is: 17,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.53 : 31,402.17 = 12,683.61 : x
  2. Step 2: Convert to fraction form
    22,753.53/31,402.17 = 12,683.61/x
  3. Step 3: Cross multiply
    22,753.53x = 31,402.17 × 12,683.61
  4. Step 4: Simplify right side
    22,753.53x = 398,292,877.43
  5. Step 5: Solve for x
    x = 398,292,877.43/22,753.53
  6. Step 6: Final answer
    x = 17,504.66

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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.