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Finding the Fourth Proportional to 23,481.61, 35,227.82 and 7,687.15

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Solution

The fourth proportional to 23,481.61, 35,227.82 and 7,687.15 is: 11,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481.61 : 35,227.82 = 7,687.15 : x
  2. Step 2: Convert to fraction form
    23,481.61/35,227.82 = 7,687.15/x
  3. Step 3: Cross multiply
    23,481.61x = 35,227.82 × 7,687.15
  4. Step 4: Simplify right side
    23,481.61x = 270,801,498.08
  5. Step 5: Solve for x
    x = 270,801,498.08/23,481.61
  6. Step 6: Final answer
    x = 11,532.49

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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.