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Finding the Fourth Proportional to 23,752.87, 32,778.70 and 13,142.58

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Solution

The fourth proportional to 23,752.87, 32,778.70 and 13,142.58 is: 18,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,752.87 : 32,778.70 = 13,142.58 : x
  2. Step 2: Convert to fraction form
    23,752.87/32,778.70 = 13,142.58/x
  3. Step 3: Cross multiply
    23,752.87x = 32,778.70 × 13,142.58
  4. Step 4: Simplify right side
    23,752.87x = 430,796,660.42
  5. Step 5: Solve for x
    x = 430,796,660.42/23,752.87
  6. Step 6: Final answer
    x = 18,136.61

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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.