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Finding the Fourth Proportional to 20,134.41, 30,189.21 and 6,806.15

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Solution

The fourth proportional to 20,134.41, 30,189.21 and 6,806.15 is: 10,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.41 : 30,189.21 = 6,806.15 : x
  2. Step 2: Convert to fraction form
    20,134.41/30,189.21 = 6,806.15/x
  3. Step 3: Cross multiply
    20,134.41x = 30,189.21 × 6,806.15
  4. Step 4: Simplify right side
    20,134.41x = 205,472,122.25
  5. Step 5: Solve for x
    x = 205,472,122.25/20,134.41
  6. Step 6: Final answer
    x = 10,205.02

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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.