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Finding the Fourth Proportional to 13,613.73, 20,410.22 and 6,213.02

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Solution

The fourth proportional to 13,613.73, 20,410.22 and 6,213.02 is: 9,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.73 : 20,410.22 = 6,213.02 : x
  2. Step 2: Convert to fraction form
    13,613.73/20,410.22 = 6,213.02/x
  3. Step 3: Cross multiply
    13,613.73x = 20,410.22 × 6,213.02
  4. Step 4: Simplify right side
    13,613.73x = 126,809,003.56
  5. Step 5: Solve for x
    x = 126,809,003.56/13,613.73
  6. Step 6: Final answer
    x = 9,314.79

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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.