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Finding the Fourth Proportional to 20,127.71, 30,183.11 and 7,640.85

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Solution

The fourth proportional to 20,127.71, 30,183.11 and 7,640.85 is: 11,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.71 : 30,183.11 = 7,640.85 : x
  2. Step 2: Convert to fraction form
    20,127.71/30,183.11 = 7,640.85/x
  3. Step 3: Cross multiply
    20,127.71x = 30,183.11 × 7,640.85
  4. Step 4: Simplify right side
    20,127.71x = 230,624,484.23
  5. Step 5: Solve for x
    x = 230,624,484.23/20,127.71
  6. Step 6: Final answer
    x = 11,458.06

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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.