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Finding the Fourth Proportional to 17,676.38, 24,393.42 and 9,718.74

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Solution

The fourth proportional to 17,676.38, 24,393.42 and 9,718.74 is: 13,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.38 : 24,393.42 = 9,718.74 : x
  2. Step 2: Convert to fraction form
    17,676.38/24,393.42 = 9,718.74/x
  3. Step 3: Cross multiply
    17,676.38x = 24,393.42 × 9,718.74
  4. Step 4: Simplify right side
    17,676.38x = 237,073,306.69
  5. Step 5: Solve for x
    x = 237,073,306.69/17,676.38
  6. Step 6: Final answer
    x = 13,411.87

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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.