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Finding the Fourth Proportional to 20,354.14, 30,546.78 and 9,112.96

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Solution

The fourth proportional to 20,354.14, 30,546.78 and 9,112.96 is: 13,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,354.14 : 30,546.78 = 9,112.96 : x
  2. Step 2: Convert to fraction form
    20,354.14/30,546.78 = 9,112.96/x
  3. Step 3: Cross multiply
    20,354.14x = 30,546.78 × 9,112.96
  4. Step 4: Simplify right side
    20,354.14x = 278,371,584.27
  5. Step 5: Solve for x
    x = 278,371,584.27/20,354.14
  6. Step 6: Final answer
    x = 13,676.41

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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.