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Finding the Fourth Proportional to 22,841.42, 34,257.93 and 10,358.42

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Solution

The fourth proportional to 22,841.42, 34,257.93 and 10,358.42 is: 15,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.42 : 34,257.93 = 10,358.42 : x
  2. Step 2: Convert to fraction form
    22,841.42/34,257.93 = 10,358.42/x
  3. Step 3: Cross multiply
    22,841.42x = 34,257.93 × 10,358.42
  4. Step 4: Simplify right side
    22,841.42x = 354,858,027.27
  5. Step 5: Solve for x
    x = 354,858,027.27/22,841.42
  6. Step 6: Final answer
    x = 15,535.73

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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.