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Finding the Fourth Proportional to 11,980.26, 17,982.48 and 8,269.62

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Solution

The fourth proportional to 11,980.26, 17,982.48 and 8,269.62 is: 12,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.26 : 17,982.48 = 8,269.62 : x
  2. Step 2: Convert to fraction form
    11,980.26/17,982.48 = 8,269.62/x
  3. Step 3: Cross multiply
    11,980.26x = 17,982.48 × 8,269.62
  4. Step 4: Simplify right side
    11,980.26x = 148,708,276.26
  5. Step 5: Solve for x
    x = 148,708,276.26/11,980.26
  6. Step 6: Final answer
    x = 12,412.78

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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.