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Finding the Fourth Proportional to 12,147.68, 16,770.12 and 8,189.60

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Solution

The fourth proportional to 12,147.68, 16,770.12 and 8,189.60 is: 11,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.68 : 16,770.12 = 8,189.60 : x
  2. Step 2: Convert to fraction form
    12,147.68/16,770.12 = 8,189.60/x
  3. Step 3: Cross multiply
    12,147.68x = 16,770.12 × 8,189.60
  4. Step 4: Simplify right side
    12,147.68x = 137,340,574.75
  5. Step 5: Solve for x
    x = 137,340,574.75/12,147.68
  6. Step 6: Final answer
    x = 11,305.91

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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.