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Finding the Fourth Proportional to 20,242.38, 30,357.66 and 7,761.48

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Solution

The fourth proportional to 20,242.38, 30,357.66 and 7,761.48 is: 11,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.38 : 30,357.66 = 7,761.48 : x
  2. Step 2: Convert to fraction form
    20,242.38/30,357.66 = 7,761.48/x
  3. Step 3: Cross multiply
    20,242.38x = 30,357.66 × 7,761.48
  4. Step 4: Simplify right side
    20,242.38x = 235,620,370.94
  5. Step 5: Solve for x
    x = 235,620,370.94/20,242.38
  6. Step 6: Final answer
    x = 11,639.95

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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.