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Finding the Fourth Proportional to 17,062.82, 25,582.11 and 6,523.97

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Solution

The fourth proportional to 17,062.82, 25,582.11 and 6,523.97 is: 9,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,062.82 : 25,582.11 = 6,523.97 : x
  2. Step 2: Convert to fraction form
    17,062.82/25,582.11 = 6,523.97/x
  3. Step 3: Cross multiply
    17,062.82x = 25,582.11 × 6,523.97
  4. Step 4: Simplify right side
    17,062.82x = 166,896,765.80
  5. Step 5: Solve for x
    x = 166,896,765.80/17,062.82
  6. Step 6: Final answer
    x = 9,781.31

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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.