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Finding the Fourth Proportional to 38,463.92, 57,704.22 and 11,810

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Solution

The fourth proportional to 38,463.92, 57,704.22 and 11,810 is: 17,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,463.92 : 57,704.22 = 11,810 : x
  2. Step 2: Convert to fraction form
    38,463.92/57,704.22 = 11,810/x
  3. Step 3: Cross multiply
    38,463.92x = 57,704.22 × 11,810
  4. Step 4: Simplify right side
    38,463.92x = 681,486,838.20
  5. Step 5: Solve for x
    x = 681,486,838.20/38,463.92
  6. Step 6: Final answer
    x = 17,717.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.