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Finding the Fourth Proportional to 17,397.11, 24,009.20 and 9,843.44

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Solution

The fourth proportional to 17,397.11, 24,009.20 and 9,843.44 is: 13,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,397.11 : 24,009.20 = 9,843.44 : x
  2. Step 2: Convert to fraction form
    17,397.11/24,009.20 = 9,843.44/x
  3. Step 3: Cross multiply
    17,397.11x = 24,009.20 × 9,843.44
  4. Step 4: Simplify right side
    17,397.11x = 236,332,950.38
  5. Step 5: Solve for x
    x = 236,332,950.38/17,397.11
  6. Step 6: Final answer
    x = 13,584.61

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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.