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Finding the Fourth Proportional to 17,230.52, 25,844.34 and 6,839.48

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Solution

The fourth proportional to 17,230.52, 25,844.34 and 6,839.48 is: 10,258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.52 : 25,844.34 = 6,839.48 : x
  2. Step 2: Convert to fraction form
    17,230.52/25,844.34 = 6,839.48/x
  3. Step 3: Cross multiply
    17,230.52x = 25,844.34 × 6,839.48
  4. Step 4: Simplify right side
    17,230.52x = 176,761,846.54
  5. Step 5: Solve for x
    x = 176,761,846.54/17,230.52
  6. Step 6: Final answer
    x = 10,258.65

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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.