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Finding the Fourth Proportional to 17,738.86, 24,479.83 and 9,781.38

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Solution

The fourth proportional to 17,738.86, 24,479.83 and 9,781.38 is: 13,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.86 : 24,479.83 = 9,781.38 : x
  2. Step 2: Convert to fraction form
    17,738.86/24,479.83 = 9,781.38/x
  3. Step 3: Cross multiply
    17,738.86x = 24,479.83 × 9,781.38
  4. Step 4: Simplify right side
    17,738.86x = 239,446,519.57
  5. Step 5: Solve for x
    x = 239,446,519.57/17,738.86
  6. Step 6: Final answer
    x = 13,498.42

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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.