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Finding the Fourth Proportional to 13,221.60, 18,241.92 and 8,189.52

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Solution

The fourth proportional to 13,221.60, 18,241.92 and 8,189.52 is: 11,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.60 : 18,241.92 = 8,189.52 : x
  2. Step 2: Convert to fraction form
    13,221.60/18,241.92 = 8,189.52/x
  3. Step 3: Cross multiply
    13,221.60x = 18,241.92 × 8,189.52
  4. Step 4: Simplify right side
    13,221.60x = 149,392,568.68
  5. Step 5: Solve for x
    x = 149,392,568.68/13,221.60
  6. Step 6: Final answer
    x = 11,299.13

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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.