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Finding the Fourth Proportional to 22,773.64, 34,150.42 and 10,293.16

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Solution

The fourth proportional to 22,773.64, 34,150.42 and 10,293.16 is: 15,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.64 : 34,150.42 = 10,293.16 : x
  2. Step 2: Convert to fraction form
    22,773.64/34,150.42 = 10,293.16/x
  3. Step 3: Cross multiply
    22,773.64x = 34,150.42 × 10,293.16
  4. Step 4: Simplify right side
    22,773.64x = 351,515,737.13
  5. Step 5: Solve for x
    x = 351,515,737.13/22,773.64
  6. Step 6: Final answer
    x = 15,435.20

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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.