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Finding the Fourth Proportional to 20,091.20, 30,169.20 and 13,546.40

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Solution

The fourth proportional to 20,091.20, 30,169.20 and 13,546.40 is: 20,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091.20 : 30,169.20 = 13,546.40 : x
  2. Step 2: Convert to fraction form
    20,091.20/30,169.20 = 13,546.40/x
  3. Step 3: Cross multiply
    20,091.20x = 30,169.20 × 13,546.40
  4. Step 4: Simplify right side
    20,091.20x = 408,684,050.88
  5. Step 5: Solve for x
    x = 408,684,050.88/20,091.20
  6. Step 6: Final answer
    x = 20,341.45

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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.