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Finding the Fourth Proportional to 20,231.92, 30,348.15 and 7,752.57

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Solution

The fourth proportional to 20,231.92, 30,348.15 and 7,752.57 is: 11,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.92 : 30,348.15 = 7,752.57 : x
  2. Step 2: Convert to fraction form
    20,231.92/30,348.15 = 7,752.57/x
  3. Step 3: Cross multiply
    20,231.92x = 30,348.15 × 7,752.57
  4. Step 4: Simplify right side
    20,231.92x = 235,276,157.25
  5. Step 5: Solve for x
    x = 235,276,157.25/20,231.92
  6. Step 6: Final answer
    x = 11,628.96

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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.