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Finding the Fourth Proportional to 23,105.28, 34,657.92 and 7,524.48

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Solution

The fourth proportional to 23,105.28, 34,657.92 and 7,524.48 is: 11,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.28 : 34,657.92 = 7,524.48 : x
  2. Step 2: Convert to fraction form
    23,105.28/34,657.92 = 7,524.48/x
  3. Step 3: Cross multiply
    23,105.28x = 34,657.92 × 7,524.48
  4. Step 4: Simplify right side
    23,105.28x = 260,782,825.88
  5. Step 5: Solve for x
    x = 260,782,825.88/23,105.28
  6. Step 6: Final answer
    x = 11,286.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.