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Finding the Fourth Proportional to 22,558.61, 33,839.67 and 9,414.74

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Solution

The fourth proportional to 22,558.61, 33,839.67 and 9,414.74 is: 14,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,558.61 : 33,839.67 = 9,414.74 : x
  2. Step 2: Convert to fraction form
    22,558.61/33,839.67 = 9,414.74/x
  3. Step 3: Cross multiply
    22,558.61x = 33,839.67 × 9,414.74
  4. Step 4: Simplify right side
    22,558.61x = 318,591,694.74
  5. Step 5: Solve for x
    x = 318,591,694.74/22,558.61
  6. Step 6: Final answer
    x = 14,122.84

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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.