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Finding the Fourth Proportional to 20,324.02, 30,487.74 and 7,843.54

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Solution

The fourth proportional to 20,324.02, 30,487.74 and 7,843.54 is: 11,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324.02 : 30,487.74 = 7,843.54 : x
  2. Step 2: Convert to fraction form
    20,324.02/30,487.74 = 7,843.54/x
  3. Step 3: Cross multiply
    20,324.02x = 30,487.74 × 7,843.54
  4. Step 4: Simplify right side
    20,324.02x = 239,131,808.20
  5. Step 5: Solve for x
    x = 239,131,808.20/20,324.02
  6. Step 6: Final answer
    x = 11,765.97

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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.