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Finding the Fourth Proportional to 18,380.72, 27,566.16 and 7,990

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Solution

The fourth proportional to 18,380.72, 27,566.16 and 7,990 is: 11,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,380.72 : 27,566.16 = 7,990 : x
  2. Step 2: Convert to fraction form
    18,380.72/27,566.16 = 7,990/x
  3. Step 3: Cross multiply
    18,380.72x = 27,566.16 × 7,990
  4. Step 4: Simplify right side
    18,380.72x = 220,253,618.40
  5. Step 5: Solve for x
    x = 220,253,618.40/18,380.72
  6. Step 6: Final answer
    x = 11,982.86

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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.