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Finding the Fourth Proportional to 12,407.97, 18,601.49 and 5,382.70

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Solution

The fourth proportional to 12,407.97, 18,601.49 and 5,382.70 is: 8,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.97 : 18,601.49 = 5,382.70 : x
  2. Step 2: Convert to fraction form
    12,407.97/18,601.49 = 5,382.70/x
  3. Step 3: Cross multiply
    12,407.97x = 18,601.49 × 5,382.70
  4. Step 4: Simplify right side
    12,407.97x = 100,126,207.18
  5. Step 5: Solve for x
    x = 100,126,207.18/12,407.97
  6. Step 6: Final answer
    x = 8,069.51

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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.