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Finding the Fourth Proportional to 20,191.97, 30,289.17 and 6,340.97

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Solution

The fourth proportional to 20,191.97, 30,289.17 and 6,340.97 is: 9,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.97 : 30,289.17 = 6,340.97 : x
  2. Step 2: Convert to fraction form
    20,191.97/30,289.17 = 6,340.97/x
  3. Step 3: Cross multiply
    20,191.97x = 30,289.17 × 6,340.97
  4. Step 4: Simplify right side
    20,191.97x = 192,062,718.29
  5. Step 5: Solve for x
    x = 192,062,718.29/20,191.97
  6. Step 6: Final answer
    x = 9,511.84

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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.