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Finding the Fourth Proportional to 12,109.68, 18,164.56 and 3,344.40

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Solution

The fourth proportional to 12,109.68, 18,164.56 and 3,344.40 is: 5,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.68 : 18,164.56 = 3,344.40 : x
  2. Step 2: Convert to fraction form
    12,109.68/18,164.56 = 3,344.40/x
  3. Step 3: Cross multiply
    12,109.68x = 18,164.56 × 3,344.40
  4. Step 4: Simplify right side
    12,109.68x = 60,749,554.46
  5. Step 5: Solve for x
    x = 60,749,554.46/12,109.68
  6. Step 6: Final answer
    x = 5,016.61

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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.