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Finding the Fourth Proportional to 23,753.69, 32,778.71 and 13,142.69

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Solution

The fourth proportional to 23,753.69, 32,778.71 and 13,142.69 is: 18,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.69 : 32,778.71 = 13,142.69 : x
  2. Step 2: Convert to fraction form
    23,753.69/32,778.71 = 13,142.69/x
  3. Step 3: Cross multiply
    23,753.69x = 32,778.71 × 13,142.69
  4. Step 4: Simplify right side
    23,753.69x = 430,800,260.24
  5. Step 5: Solve for x
    x = 430,800,260.24/23,753.69
  6. Step 6: Final answer
    x = 18,136.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.