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Finding the Fourth Proportional to 20,500.94, 30,730.86 and 8,003.72

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Solution

The fourth proportional to 20,500.94, 30,730.86 and 8,003.72 is: 11,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.94 : 30,730.86 = 8,003.72 : x
  2. Step 2: Convert to fraction form
    20,500.94/30,730.86 = 8,003.72/x
  3. Step 3: Cross multiply
    20,500.94x = 30,730.86 × 8,003.72
  4. Step 4: Simplify right side
    20,500.94x = 245,961,198.80
  5. Step 5: Solve for x
    x = 245,961,198.80/20,500.94
  6. Step 6: Final answer
    x = 11,997.56

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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.