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Finding the Fourth Proportional to 21,942, 32,917.76 and 10,248.80

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Solution

The fourth proportional to 21,942, 32,917.76 and 10,248.80 is: 15,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942 : 32,917.76 = 10,248.80 : x
  2. Step 2: Convert to fraction form
    21,942/32,917.76 = 10,248.80/x
  3. Step 3: Cross multiply
    21,942x = 32,917.76 × 10,248.80
  4. Step 4: Simplify right side
    21,942x = 337,367,538.69
  5. Step 5: Solve for x
    x = 337,367,538.69/21,942
  6. Step 6: Final answer
    x = 15,375.42

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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.