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Finding the Fourth Proportional to 18,659.20, 27,982.92 and 6,176.38

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Solution

The fourth proportional to 18,659.20, 27,982.92 and 6,176.38 is: 9,262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,659.20 : 27,982.92 = 6,176.38 : x
  2. Step 2: Convert to fraction form
    18,659.20/27,982.92 = 6,176.38/x
  3. Step 3: Cross multiply
    18,659.20x = 27,982.92 × 6,176.38
  4. Step 4: Simplify right side
    18,659.20x = 172,833,147.43
  5. Step 5: Solve for x
    x = 172,833,147.43/18,659.20
  6. Step 6: Final answer
    x = 9,262.62

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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.