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Finding the Fourth Proportional to 17,092.84, 25,634.22 and 7,231.90

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Solution

The fourth proportional to 17,092.84, 25,634.22 and 7,231.90 is: 10,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092.84 : 25,634.22 = 7,231.90 : x
  2. Step 2: Convert to fraction form
    17,092.84/25,634.22 = 7,231.90/x
  3. Step 3: Cross multiply
    17,092.84x = 25,634.22 × 7,231.90
  4. Step 4: Simplify right side
    17,092.84x = 185,384,115.62
  5. Step 5: Solve for x
    x = 185,384,115.62/17,092.84
  6. Step 6: Final answer
    x = 10,845.72

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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.