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Finding the Fourth Proportional to 12,144.96, 16,770.24 and 8,179.20

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Solution

The fourth proportional to 12,144.96, 16,770.24 and 8,179.20 is: 11,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.96 : 16,770.24 = 8,179.20 : x
  2. Step 2: Convert to fraction form
    12,144.96/16,770.24 = 8,179.20/x
  3. Step 3: Cross multiply
    12,144.96x = 16,770.24 × 8,179.20
  4. Step 4: Simplify right side
    12,144.96x = 137,167,147.01
  5. Step 5: Solve for x
    x = 137,167,147.01/12,144.96
  6. Step 6: Final answer
    x = 11,294.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.