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Finding the Fourth Proportional to 18,002.70, 27,016.20 and 10,105.20

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Solution

The fourth proportional to 18,002.70, 27,016.20 and 10,105.20 is: 15,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.70 : 27,016.20 = 10,105.20 : x
  2. Step 2: Convert to fraction form
    18,002.70/27,016.20 = 10,105.20/x
  3. Step 3: Cross multiply
    18,002.70x = 27,016.20 × 10,105.20
  4. Step 4: Simplify right side
    18,002.70x = 273,004,104.24
  5. Step 5: Solve for x
    x = 273,004,104.24/18,002.70
  6. Step 6: Final answer
    x = 15,164.62

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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.