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Finding the Fourth Proportional to 17,414.01, 24,031.56 and 9,456.37

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Solution

The fourth proportional to 17,414.01, 24,031.56 and 9,456.37 is: 13,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.01 : 24,031.56 = 9,456.37 : x
  2. Step 2: Convert to fraction form
    17,414.01/24,031.56 = 9,456.37/x
  3. Step 3: Cross multiply
    17,414.01x = 24,031.56 × 9,456.37
  4. Step 4: Simplify right side
    17,414.01x = 227,251,323.04
  5. Step 5: Solve for x
    x = 227,251,323.04/17,414.01
  6. Step 6: Final answer
    x = 13,049.91

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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.