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Finding the Fourth Proportional to 17,872.38, 24,662.73 and 9,914.07

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Solution

The fourth proportional to 17,872.38, 24,662.73 and 9,914.07 is: 13,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.38 : 24,662.73 = 9,914.07 : x
  2. Step 2: Convert to fraction form
    17,872.38/24,662.73 = 9,914.07/x
  3. Step 3: Cross multiply
    17,872.38x = 24,662.73 × 9,914.07
  4. Step 4: Simplify right side
    17,872.38x = 244,508,031.61
  5. Step 5: Solve for x
    x = 244,508,031.61/17,872.38
  6. Step 6: Final answer
    x = 13,680.78

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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.