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Finding the Fourth Proportional to 24,327.70, 36,491.19 and 13,231.78

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Solution

The fourth proportional to 24,327.70, 36,491.19 and 13,231.78 is: 19,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327.70 : 36,491.19 = 13,231.78 : x
  2. Step 2: Convert to fraction form
    24,327.70/36,491.19 = 13,231.78/x
  3. Step 3: Cross multiply
    24,327.70x = 36,491.19 × 13,231.78
  4. Step 4: Simplify right side
    24,327.70x = 482,843,398.02
  5. Step 5: Solve for x
    x = 482,843,398.02/24,327.70
  6. Step 6: Final answer
    x = 19,847.47

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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.