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Finding the Fourth Proportional to 13,662.68, 20,493.96 and 6,157.44

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Solution

The fourth proportional to 13,662.68, 20,493.96 and 6,157.44 is: 9,236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.68 : 20,493.96 = 6,157.44 : x
  2. Step 2: Convert to fraction form
    13,662.68/20,493.96 = 6,157.44/x
  3. Step 3: Cross multiply
    13,662.68x = 20,493.96 × 6,157.44
  4. Step 4: Simplify right side
    13,662.68x = 126,190,329.06
  5. Step 5: Solve for x
    x = 126,190,329.06/13,662.68
  6. Step 6: Final answer
    x = 9,236.13

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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.