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Finding the Fourth Proportional to 13,613.25, 20,419.89 and 5,405.25

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Solution

The fourth proportional to 13,613.25, 20,419.89 and 5,405.25 is: 8,107.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,613.25 : 20,419.89 = 5,405.25 : x
  2. Step 2: Convert to fraction form
    13,613.25/20,419.89 = 5,405.25/x
  3. Step 3: Cross multiply
    13,613.25x = 20,419.89 × 5,405.25
  4. Step 4: Simplify right side
    13,613.25x = 110,374,610.42
  5. Step 5: Solve for x
    x = 110,374,610.42/13,613.25
  6. Step 6: Final answer
    x = 8,107.88

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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.