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Finding the Fourth Proportional to 13,663.92, 18,856.49 and 8,286.33

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Solution

The fourth proportional to 13,663.92, 18,856.49 and 8,286.33 is: 11,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.92 : 18,856.49 = 8,286.33 : x
  2. Step 2: Convert to fraction form
    13,663.92/18,856.49 = 8,286.33/x
  3. Step 3: Cross multiply
    13,663.92x = 18,856.49 × 8,286.33
  4. Step 4: Simplify right side
    13,663.92x = 156,251,057.35
  5. Step 5: Solve for x
    x = 156,251,057.35/13,663.92
  6. Step 6: Final answer
    x = 11,435.30

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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.