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Finding the Fourth Proportional to 22,854.71, 34,286.35 and 10,375.62

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Solution

The fourth proportional to 22,854.71, 34,286.35 and 10,375.62 is: 15,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.71 : 34,286.35 = 10,375.62 : x
  2. Step 2: Convert to fraction form
    22,854.71/34,286.35 = 10,375.62/x
  3. Step 3: Cross multiply
    22,854.71x = 34,286.35 × 10,375.62
  4. Step 4: Simplify right side
    22,854.71x = 355,742,138.79
  5. Step 5: Solve for x
    x = 355,742,138.79/22,854.71
  6. Step 6: Final answer
    x = 15,565.38

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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.