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Finding the Fourth Proportional to 24,314.38, 33,553.78 and 13,136.38

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Solution

The fourth proportional to 24,314.38, 33,553.78 and 13,136.38 is: 18,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.38 : 33,553.78 = 13,136.38 : x
  2. Step 2: Convert to fraction form
    24,314.38/33,553.78 = 13,136.38/x
  3. Step 3: Cross multiply
    24,314.38x = 33,553.78 × 13,136.38
  4. Step 4: Simplify right side
    24,314.38x = 440,775,087.79
  5. Step 5: Solve for x
    x = 440,775,087.79/24,314.38
  6. Step 6: Final answer
    x = 18,128.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.