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Finding the Fourth Proportional to 22,523.20, 33,773.44 and 6,938.80

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Solution

The fourth proportional to 22,523.20, 33,773.44 and 6,938.80 is: 10,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.20 : 33,773.44 = 6,938.80 : x
  2. Step 2: Convert to fraction form
    22,523.20/33,773.44 = 6,938.80/x
  3. Step 3: Cross multiply
    22,523.20x = 33,773.44 × 6,938.80
  4. Step 4: Simplify right side
    22,523.20x = 234,347,145.47
  5. Step 5: Solve for x
    x = 234,347,145.47/22,523.20
  6. Step 6: Final answer
    x = 10,404.70

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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.