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Finding the Fourth Proportional to 20,309.50, 30,462.32 and 6,265.76

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Solution

The fourth proportional to 20,309.50, 30,462.32 and 6,265.76 is: 9,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.50 : 30,462.32 = 6,265.76 : x
  2. Step 2: Convert to fraction form
    20,309.50/30,462.32 = 6,265.76/x
  3. Step 3: Cross multiply
    20,309.50x = 30,462.32 × 6,265.76
  4. Step 4: Simplify right side
    20,309.50x = 190,869,433.85
  5. Step 5: Solve for x
    x = 190,869,433.85/20,309.50
  6. Step 6: Final answer
    x = 9,398.04

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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.