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Finding the Fourth Proportional to 17,843.91, 26,769.78 and 7,314

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Solution

The fourth proportional to 17,843.91, 26,769.78 and 7,314 is: 10,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843.91 : 26,769.78 = 7,314 : x
  2. Step 2: Convert to fraction form
    17,843.91/26,769.78 = 7,314/x
  3. Step 3: Cross multiply
    17,843.91x = 26,769.78 × 7,314
  4. Step 4: Simplify right side
    17,843.91x = 195,794,170.92
  5. Step 5: Solve for x
    x = 195,794,170.92/17,843.91
  6. Step 6: Final answer
    x = 10,972.60

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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.