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Finding the Fourth Proportional to 17,227.26, 25,840.98 and 6,839

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Solution

The fourth proportional to 17,227.26, 25,840.98 and 6,839 is: 10,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,227.26 : 25,840.98 = 6,839 : x
  2. Step 2: Convert to fraction form
    17,227.26/25,840.98 = 6,839/x
  3. Step 3: Cross multiply
    17,227.26x = 25,840.98 × 6,839
  4. Step 4: Simplify right side
    17,227.26x = 176,726,462.22
  5. Step 5: Solve for x
    x = 176,726,462.22/17,227.26
  6. Step 6: Final answer
    x = 10,258.54

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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.