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Finding the Fourth Proportional to 22,773.42, 34,157.75 and 6,132.78

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Solution

The fourth proportional to 22,773.42, 34,157.75 and 6,132.78 is: 9,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.42 : 34,157.75 = 6,132.78 : x
  2. Step 2: Convert to fraction form
    22,773.42/34,157.75 = 6,132.78/x
  3. Step 3: Cross multiply
    22,773.42x = 34,157.75 × 6,132.78
  4. Step 4: Simplify right side
    22,773.42x = 209,481,935.38
  5. Step 5: Solve for x
    x = 209,481,935.38/22,773.42
  6. Step 6: Final answer
    x = 9,198.53

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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.