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Finding the Fourth Proportional to 17,408.78, 24,024.17 and 9,451.04

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Solution

The fourth proportional to 17,408.78, 24,024.17 and 9,451.04 is: 13,042.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.78 : 24,024.17 = 9,451.04 : x
  2. Step 2: Convert to fraction form
    17,408.78/24,024.17 = 9,451.04/x
  3. Step 3: Cross multiply
    17,408.78x = 24,024.17 × 9,451.04
  4. Step 4: Simplify right side
    17,408.78x = 227,053,344.38
  5. Step 5: Solve for x
    x = 227,053,344.38/17,408.78
  6. Step 6: Final answer
    x = 13,042.46

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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.