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Finding the Fourth Proportional to 13,544.64, 20,321.28 and 7,996.80

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Solution

The fourth proportional to 13,544.64, 20,321.28 and 7,996.80 is: 11,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.64 : 20,321.28 = 7,996.80 : x
  2. Step 2: Convert to fraction form
    13,544.64/20,321.28 = 7,996.80/x
  3. Step 3: Cross multiply
    13,544.64x = 20,321.28 × 7,996.80
  4. Step 4: Simplify right side
    13,544.64x = 162,505,211.90
  5. Step 5: Solve for x
    x = 162,505,211.90/13,544.64
  6. Step 6: Final answer
    x = 11,997.75

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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.