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Finding the Fourth Proportional to 18,201.75, 27,286.37 and 7,105.85

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Solution

The fourth proportional to 18,201.75, 27,286.37 and 7,105.85 is: 10,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,201.75 : 27,286.37 = 7,105.85 : x
  2. Step 2: Convert to fraction form
    18,201.75/27,286.37 = 7,105.85/x
  3. Step 3: Cross multiply
    18,201.75x = 27,286.37 × 7,105.85
  4. Step 4: Simplify right side
    18,201.75x = 193,892,852.26
  5. Step 5: Solve for x
    x = 193,892,852.26/18,201.75
  6. Step 6: Final answer
    x = 10,652.43

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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.