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Finding the Fourth Proportional to 13,489.67, 20,234.70 and 5,170.11

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Solution

The fourth proportional to 13,489.67, 20,234.70 and 5,170.11 is: 7,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.67 : 20,234.70 = 5,170.11 : x
  2. Step 2: Convert to fraction form
    13,489.67/20,234.70 = 5,170.11/x
  3. Step 3: Cross multiply
    13,489.67x = 20,234.70 × 5,170.11
  4. Step 4: Simplify right side
    13,489.67x = 104,615,624.82
  5. Step 5: Solve for x
    x = 104,615,624.82/13,489.67
  6. Step 6: Final answer
    x = 7,755.24

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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.