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Finding the Fourth Proportional to 38,456.68, 57,680.06 and 12,164.12

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Solution

The fourth proportional to 38,456.68, 57,680.06 and 12,164.12 is: 18,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,456.68 : 57,680.06 = 12,164.12 : x
  2. Step 2: Convert to fraction form
    38,456.68/57,680.06 = 12,164.12/x
  3. Step 3: Cross multiply
    38,456.68x = 57,680.06 × 12,164.12
  4. Step 4: Simplify right side
    38,456.68x = 701,627,171.45
  5. Step 5: Solve for x
    x = 701,627,171.45/38,456.68
  6. Step 6: Final answer
    x = 18,244.61

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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.