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Finding the Fourth Proportional to 17,493, 24,141.78 and 10,042.44

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Solution

The fourth proportional to 17,493, 24,141.78 and 10,042.44 is: 13,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493 : 24,141.78 = 10,042.44 : x
  2. Step 2: Convert to fraction form
    17,493/24,141.78 = 10,042.44/x
  3. Step 3: Cross multiply
    17,493x = 24,141.78 × 10,042.44
  4. Step 4: Simplify right side
    17,493x = 242,442,377.14
  5. Step 5: Solve for x
    x = 242,442,377.14/17,493
  6. Step 6: Final answer
    x = 13,859.39

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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.