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Finding the Fourth Proportional to 17,949.86, 24,771.79 and 9,991.91

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Solution

The fourth proportional to 17,949.86, 24,771.79 and 9,991.91 is: 13,789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,949.86 : 24,771.79 = 9,991.91 : x
  2. Step 2: Convert to fraction form
    17,949.86/24,771.79 = 9,991.91/x
  3. Step 3: Cross multiply
    17,949.86x = 24,771.79 × 9,991.91
  4. Step 4: Simplify right side
    17,949.86x = 247,517,496.22
  5. Step 5: Solve for x
    x = 247,517,496.22/17,949.86
  6. Step 6: Final answer
    x = 13,789.38

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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.