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Finding the Fourth Proportional to 20,141.18, 30,202.65 and 9,042.15

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Solution

The fourth proportional to 20,141.18, 30,202.65 and 9,042.15 is: 13,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.18 : 30,202.65 = 9,042.15 : x
  2. Step 2: Convert to fraction form
    20,141.18/30,202.65 = 9,042.15/x
  3. Step 3: Cross multiply
    20,141.18x = 30,202.65 × 9,042.15
  4. Step 4: Simplify right side
    20,141.18x = 273,096,891.70
  5. Step 5: Solve for x
    x = 273,096,891.70/20,141.18
  6. Step 6: Final answer
    x = 13,559.13

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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.