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Finding the Fourth Proportional to 22,564.72, 33,850.20 and 9,414.04

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Solution

The fourth proportional to 22,564.72, 33,850.20 and 9,414.04 is: 14,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.72 : 33,850.20 = 9,414.04 : x
  2. Step 2: Convert to fraction form
    22,564.72/33,850.20 = 9,414.04/x
  3. Step 3: Cross multiply
    22,564.72x = 33,850.20 × 9,414.04
  4. Step 4: Simplify right side
    22,564.72x = 318,667,136.81
  5. Step 5: Solve for x
    x = 318,667,136.81/22,564.72
  6. Step 6: Final answer
    x = 14,122.36

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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.