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Finding the Fourth Proportional to 23,136.10, 34,704.11 and 9,086.31

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Solution

The fourth proportional to 23,136.10, 34,704.11 and 9,086.31 is: 13,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.10 : 34,704.11 = 9,086.31 : x
  2. Step 2: Convert to fraction form
    23,136.10/34,704.11 = 9,086.31/x
  3. Step 3: Cross multiply
    23,136.10x = 34,704.11 × 9,086.31
  4. Step 4: Simplify right side
    23,136.10x = 315,332,324.45
  5. Step 5: Solve for x
    x = 315,332,324.45/23,136.10
  6. Step 6: Final answer
    x = 13,629.45

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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.