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Finding the Fourth Proportional to 20,217.32, 30,324.89 and 7,736.39

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Solution

The fourth proportional to 20,217.32, 30,324.89 and 7,736.39 is: 11,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.32 : 30,324.89 = 7,736.39 : x
  2. Step 2: Convert to fraction form
    20,217.32/30,324.89 = 7,736.39/x
  3. Step 3: Cross multiply
    20,217.32x = 30,324.89 × 7,736.39
  4. Step 4: Simplify right side
    20,217.32x = 234,604,985.44
  5. Step 5: Solve for x
    x = 234,604,985.44/20,217.32
  6. Step 6: Final answer
    x = 11,604.16

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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.