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Finding the Fourth Proportional to 24,593.38, 33,938.97 and 13,415.62

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Solution

The fourth proportional to 24,593.38, 33,938.97 and 13,415.62 is: 18,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,593.38 : 33,938.97 = 13,415.62 : x
  2. Step 2: Convert to fraction form
    24,593.38/33,938.97 = 13,415.62/x
  3. Step 3: Cross multiply
    24,593.38x = 33,938.97 × 13,415.62
  4. Step 4: Simplify right side
    24,593.38x = 455,312,324.71
  5. Step 5: Solve for x
    x = 455,312,324.71/24,593.38
  6. Step 6: Final answer
    x = 18,513.61

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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.