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Finding the Fourth Proportional to 17,791.38, 24,553.94 and 10,238.00

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Solution

The fourth proportional to 17,791.38, 24,553.94 and 10,238.00 is: 14,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,791.38 : 24,553.94 = 10,238.00 : x
  2. Step 2: Convert to fraction form
    17,791.38/24,553.94 = 10,238.00/x
  3. Step 3: Cross multiply
    17,791.38x = 24,553.94 × 10,238.00
  4. Step 4: Simplify right side
    17,791.38x = 251,383,063.76
  5. Step 5: Solve for x
    x = 251,383,063.76/17,791.38
  6. Step 6: Final answer
    x = 14,129.49

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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.