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Finding the Fourth Proportional to 12,382.96, 18,542.72 and 6,830.13

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Solution

The fourth proportional to 12,382.96, 18,542.72 and 6,830.13 is: 10,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.96 : 18,542.72 = 6,830.13 : x
  2. Step 2: Convert to fraction form
    12,382.96/18,542.72 = 6,830.13/x
  3. Step 3: Cross multiply
    12,382.96x = 18,542.72 × 6,830.13
  4. Step 4: Simplify right side
    12,382.96x = 126,649,222.61
  5. Step 5: Solve for x
    x = 126,649,222.61/12,382.96
  6. Step 6: Final answer
    x = 10,227.70

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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.