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Finding the Fourth Proportional to 15,512.88, 23,249.88 and 7,723.92

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Solution

The fourth proportional to 15,512.88, 23,249.88 and 7,723.92 is: 11,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,512.88 : 23,249.88 = 7,723.92 : x
  2. Step 2: Convert to fraction form
    15,512.88/23,249.88 = 7,723.92/x
  3. Step 3: Cross multiply
    15,512.88x = 23,249.88 × 7,723.92
  4. Step 4: Simplify right side
    15,512.88x = 179,580,213.13
  5. Step 5: Solve for x
    x = 179,580,213.13/15,512.88
  6. Step 6: Final answer
    x = 11,576.20

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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.