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Finding the Fourth Proportional to 21,227.79, 31,793.13 and 10,142.27

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Solution

The fourth proportional to 21,227.79, 31,793.13 and 10,142.27 is: 15,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,227.79 : 31,793.13 = 10,142.27 : x
  2. Step 2: Convert to fraction form
    21,227.79/31,793.13 = 10,142.27/x
  3. Step 3: Cross multiply
    21,227.79x = 31,793.13 × 10,142.27
  4. Step 4: Simplify right side
    21,227.79x = 322,454,349.64
  5. Step 5: Solve for x
    x = 322,454,349.64/21,227.79
  6. Step 6: Final answer
    x = 15,190.20

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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.