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Finding the Fourth Proportional to 12,229.76, 18,346.17 and 4,330.43

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Solution

The fourth proportional to 12,229.76, 18,346.17 and 4,330.43 is: 6,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.76 : 18,346.17 = 4,330.43 : x
  2. Step 2: Convert to fraction form
    12,229.76/18,346.17 = 4,330.43/x
  3. Step 3: Cross multiply
    12,229.76x = 18,346.17 × 4,330.43
  4. Step 4: Simplify right side
    12,229.76x = 79,446,713.22
  5. Step 5: Solve for x
    x = 79,446,713.22/12,229.76
  6. Step 6: Final answer
    x = 6,496.18

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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.