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Finding the Fourth Proportional to 20,650.92, 30,976.20 and 8,972.52

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Solution

The fourth proportional to 20,650.92, 30,976.20 and 8,972.52 is: 13,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,650.92 : 30,976.20 = 8,972.52 : x
  2. Step 2: Convert to fraction form
    20,650.92/30,976.20 = 8,972.52/x
  3. Step 3: Cross multiply
    20,650.92x = 30,976.20 × 8,972.52
  4. Step 4: Simplify right side
    20,650.92x = 277,934,574.02
  5. Step 5: Solve for x
    x = 277,934,574.02/20,650.92
  6. Step 6: Final answer
    x = 13,458.70

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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.