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Finding the Fourth Proportional to 17,469.80, 26,204.96 and 9,727.82

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Solution

The fourth proportional to 17,469.80, 26,204.96 and 9,727.82 is: 14,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469.80 : 26,204.96 = 9,727.82 : x
  2. Step 2: Convert to fraction form
    17,469.80/26,204.96 = 9,727.82/x
  3. Step 3: Cross multiply
    17,469.80x = 26,204.96 × 9,727.82
  4. Step 4: Simplify right side
    17,469.80x = 254,917,133.99
  5. Step 5: Solve for x
    x = 254,917,133.99/17,469.80
  6. Step 6: Final answer
    x = 14,591.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.