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Finding the Fourth Proportional to 24,337.86, 33,586.20 and 13,727.46

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Solution

The fourth proportional to 24,337.86, 33,586.20 and 13,727.46 is: 18,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337.86 : 33,586.20 = 13,727.46 : x
  2. Step 2: Convert to fraction form
    24,337.86/33,586.20 = 13,727.46/x
  3. Step 3: Cross multiply
    24,337.86x = 33,586.20 × 13,727.46
  4. Step 4: Simplify right side
    24,337.86x = 461,053,217.05
  5. Step 5: Solve for x
    x = 461,053,217.05/24,337.86
  6. Step 6: Final answer
    x = 18,943.87

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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.