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Finding the Fourth Proportional to 20,118.81, 30,174.11 and 10,120.80

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Solution

The fourth proportional to 20,118.81, 30,174.11 and 10,120.80 is: 15,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,118.81 : 30,174.11 = 10,120.80 : x
  2. Step 2: Convert to fraction form
    20,118.81/30,174.11 = 10,120.80/x
  3. Step 3: Cross multiply
    20,118.81x = 30,174.11 × 10,120.80
  4. Step 4: Simplify right side
    20,118.81x = 305,386,049.03
  5. Step 5: Solve for x
    x = 305,386,049.03/20,118.81
  6. Step 6: Final answer
    x = 15,179.13

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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.