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Finding the Fourth Proportional to 22,600.52, 33,915.81 and 9,284.42

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Solution

The fourth proportional to 22,600.52, 33,915.81 and 9,284.42 is: 13,932.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,600.52 : 33,915.81 = 9,284.42 : x
  2. Step 2: Convert to fraction form
    22,600.52/33,915.81 = 9,284.42/x
  3. Step 3: Cross multiply
    22,600.52x = 33,915.81 × 9,284.42
  4. Step 4: Simplify right side
    22,600.52x = 314,888,744.29
  5. Step 5: Solve for x
    x = 314,888,744.29/22,600.52
  6. Step 6: Final answer
    x = 13,932.81

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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.