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Finding the Fourth Proportional to 20,143.82, 30,211.16 and 7,659.40

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Solution

The fourth proportional to 20,143.82, 30,211.16 and 7,659.40 is: 11,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.82 : 30,211.16 = 7,659.40 : x
  2. Step 2: Convert to fraction form
    20,143.82/30,211.16 = 7,659.40/x
  3. Step 3: Cross multiply
    20,143.82x = 30,211.16 × 7,659.40
  4. Step 4: Simplify right side
    20,143.82x = 231,399,358.90
  5. Step 5: Solve for x
    x = 231,399,358.90/20,143.82
  6. Step 6: Final answer
    x = 11,487.36

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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.