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Finding the Fourth Proportional to 13,489.17, 18,609.66 and 8,182.05

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Solution

The fourth proportional to 13,489.17, 18,609.66 and 8,182.05 is: 11,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.17 : 18,609.66 = 8,182.05 : x
  2. Step 2: Convert to fraction form
    13,489.17/18,609.66 = 8,182.05/x
  3. Step 3: Cross multiply
    13,489.17x = 18,609.66 × 8,182.05
  4. Step 4: Simplify right side
    13,489.17x = 152,265,168.60
  5. Step 5: Solve for x
    x = 152,265,168.60/13,489.17
  6. Step 6: Final answer
    x = 11,287.96

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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.