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Finding the Fourth Proportional to 18,380.42, 27,579.74 and 7,286.86

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Solution

The fourth proportional to 18,380.42, 27,579.74 and 7,286.86 is: 10,933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,380.42 : 27,579.74 = 7,286.86 : x
  2. Step 2: Convert to fraction form
    18,380.42/27,579.74 = 7,286.86/x
  3. Step 3: Cross multiply
    18,380.42x = 27,579.74 × 7,286.86
  4. Step 4: Simplify right side
    18,380.42x = 200,969,704.22
  5. Step 5: Solve for x
    x = 200,969,704.22/18,380.42
  6. Step 6: Final answer
    x = 10,933.90

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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.