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Finding the Fourth Proportional to 16,144.92, 24,217.20 and 11,381.47

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Solution

The fourth proportional to 16,144.92, 24,217.20 and 11,381.47 is: 17,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.92 : 24,217.20 = 11,381.47 : x
  2. Step 2: Convert to fraction form
    16,144.92/24,217.20 = 11,381.47/x
  3. Step 3: Cross multiply
    16,144.92x = 24,217.20 × 11,381.47
  4. Step 4: Simplify right side
    16,144.92x = 275,627,274.74
  5. Step 5: Solve for x
    x = 275,627,274.74/16,144.92
  6. Step 6: Final answer
    x = 17,072.07

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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.