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Finding the Fourth Proportional to 12,109.64, 18,164.44 and 3,344.54

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Solution

The fourth proportional to 12,109.64, 18,164.44 and 3,344.54 is: 5,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.64 : 18,164.44 = 3,344.54 : x
  2. Step 2: Convert to fraction form
    12,109.64/18,164.44 = 3,344.54/x
  3. Step 3: Cross multiply
    12,109.64x = 18,164.44 × 3,344.54
  4. Step 4: Simplify right side
    12,109.64x = 60,751,596.97
  5. Step 5: Solve for x
    x = 60,751,596.97/12,109.64
  6. Step 6: Final answer
    x = 5,016.80

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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.