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Finding the Fourth Proportional to 12,109.92, 18,164.34 and 3,344.64

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Solution

The fourth proportional to 12,109.92, 18,164.34 and 3,344.64 is: 5,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.92 : 18,164.34 = 3,344.64 : x
  2. Step 2: Convert to fraction form
    12,109.92/18,164.34 = 3,344.64/x
  3. Step 3: Cross multiply
    12,109.92x = 18,164.34 × 3,344.64
  4. Step 4: Simplify right side
    12,109.92x = 60,753,178.14
  5. Step 5: Solve for x
    x = 60,753,178.14/12,109.92
  6. Step 6: Final answer
    x = 5,016.81

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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.