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Finding the Fourth Proportional to 18,105.78, 27,136.80 and 8,231.52

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Solution

The fourth proportional to 18,105.78, 27,136.80 and 8,231.52 is: 12,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,105.78 : 27,136.80 = 8,231.52 : x
  2. Step 2: Convert to fraction form
    18,105.78/27,136.80 = 8,231.52/x
  3. Step 3: Cross multiply
    18,105.78x = 27,136.80 × 8,231.52
  4. Step 4: Simplify right side
    18,105.78x = 223,377,111.94
  5. Step 5: Solve for x
    x = 223,377,111.94/18,105.78
  6. Step 6: Final answer
    x = 12,337.34

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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.