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Finding the Fourth Proportional to 12,107.92, 18,178.20 and 6,269.20

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Solution

The fourth proportional to 12,107.92, 18,178.20 and 6,269.20 is: 9,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.92 : 18,178.20 = 6,269.20 : x
  2. Step 2: Convert to fraction form
    12,107.92/18,178.20 = 6,269.20/x
  3. Step 3: Cross multiply
    12,107.92x = 18,178.20 × 6,269.20
  4. Step 4: Simplify right side
    12,107.92x = 113,962,771.44
  5. Step 5: Solve for x
    x = 113,962,771.44/12,107.92
  6. Step 6: Final answer
    x = 9,412.25

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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.