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Finding the Fourth Proportional to 17,679.78, 24,399 and 10,126.14

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Solution

The fourth proportional to 17,679.78, 24,399 and 10,126.14 is: 13,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,679.78 : 24,399 = 10,126.14 : x
  2. Step 2: Convert to fraction form
    17,679.78/24,399 = 10,126.14/x
  3. Step 3: Cross multiply
    17,679.78x = 24,399 × 10,126.14
  4. Step 4: Simplify right side
    17,679.78x = 247,067,689.86
  5. Step 5: Solve for x
    x = 247,067,689.86/17,679.78
  6. Step 6: Final answer
    x = 13,974.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.