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Finding the Fourth Proportional to 13,664.12, 20,481.62 and 7,808.44

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Solution

The fourth proportional to 13,664.12, 20,481.62 and 7,808.44 is: 11,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.12 : 20,481.62 = 7,808.44 : x
  2. Step 2: Convert to fraction form
    13,664.12/20,481.62 = 7,808.44/x
  3. Step 3: Cross multiply
    13,664.12x = 20,481.62 × 7,808.44
  4. Step 4: Simplify right side
    13,664.12x = 159,929,500.87
  5. Step 5: Solve for x
    x = 159,929,500.87/13,664.12
  6. Step 6: Final answer
    x = 11,704.34

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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.