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Finding the Fourth Proportional to 13,081.58, 18,049.42 and 8,299.78

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Solution

The fourth proportional to 13,081.58, 18,049.42 and 8,299.78 is: 11,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.58 : 18,049.42 = 8,299.78 : x
  2. Step 2: Convert to fraction form
    13,081.58/18,049.42 = 8,299.78/x
  3. Step 3: Cross multiply
    13,081.58x = 18,049.42 × 8,299.78
  4. Step 4: Simplify right side
    13,081.58x = 149,806,215.13
  5. Step 5: Solve for x
    x = 149,806,215.13/13,081.58
  6. Step 6: Final answer
    x = 11,451.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.