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Finding the Fourth Proportional to 13,680.96, 20,524.92 and 3,820.26

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Solution

The fourth proportional to 13,680.96, 20,524.92 and 3,820.26 is: 5,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.96 : 20,524.92 = 3,820.26 : x
  2. Step 2: Convert to fraction form
    13,680.96/20,524.92 = 3,820.26/x
  3. Step 3: Cross multiply
    13,680.96x = 20,524.92 × 3,820.26
  4. Step 4: Simplify right side
    13,680.96x = 78,410,530.88
  5. Step 5: Solve for x
    x = 78,410,530.88/13,680.96
  6. Step 6: Final answer
    x = 5,731.36

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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.