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Finding the Fourth Proportional to 17,674.38, 24,391.53 and 9,717.66

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Solution

The fourth proportional to 17,674.38, 24,391.53 and 9,717.66 is: 13,410.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.38 : 24,391.53 = 9,717.66 : x
  2. Step 2: Convert to fraction form
    17,674.38/24,391.53 = 9,717.66/x
  3. Step 3: Cross multiply
    17,674.38x = 24,391.53 × 9,717.66
  4. Step 4: Simplify right side
    17,674.38x = 237,028,595.42
  5. Step 5: Solve for x
    x = 237,028,595.42/17,674.38
  6. Step 6: Final answer
    x = 13,410.86

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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.