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Finding the Fourth Proportional to 22,854.67, 34,286.29 and 10,375.56

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Solution

The fourth proportional to 22,854.67, 34,286.29 and 10,375.56 is: 15,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.67 : 34,286.29 = 10,375.56 : x
  2. Step 2: Convert to fraction form
    22,854.67/34,286.29 = 10,375.56/x
  3. Step 3: Cross multiply
    22,854.67x = 34,286.29 × 10,375.56
  4. Step 4: Simplify right side
    22,854.67x = 355,739,433.13
  5. Step 5: Solve for x
    x = 355,739,433.13/22,854.67
  6. Step 6: Final answer
    x = 15,565.29

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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.