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Finding the Fourth Proportional to 20,016.62, 30,014.74 and 6,684.82

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Solution

The fourth proportional to 20,016.62, 30,014.74 and 6,684.82 is: 10,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,016.62 : 30,014.74 = 6,684.82 : x
  2. Step 2: Convert to fraction form
    20,016.62/30,014.74 = 6,684.82/x
  3. Step 3: Cross multiply
    20,016.62x = 30,014.74 × 6,684.82
  4. Step 4: Simplify right side
    20,016.62x = 200,643,198.80
  5. Step 5: Solve for x
    x = 200,643,198.80/20,016.62
  6. Step 6: Final answer
    x = 10,023.83

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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.