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Finding the Fourth Proportional to 22,711.71, 34,067.58 and 10,217.14

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Solution

The fourth proportional to 22,711.71, 34,067.58 and 10,217.14 is: 15,325.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.71 : 34,067.58 = 10,217.14 : x
  2. Step 2: Convert to fraction form
    22,711.71/34,067.58 = 10,217.14/x
  3. Step 3: Cross multiply
    22,711.71x = 34,067.58 × 10,217.14
  4. Step 4: Simplify right side
    22,711.71x = 348,073,234.32
  5. Step 5: Solve for x
    x = 348,073,234.32/22,711.71
  6. Step 6: Final answer
    x = 15,325.72

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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.