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Finding the Fourth Proportional to 13,540.69, 20,311.46 and 3,680.18

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Solution

The fourth proportional to 13,540.69, 20,311.46 and 3,680.18 is: 5,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.69 : 20,311.46 = 3,680.18 : x
  2. Step 2: Convert to fraction form
    13,540.69/20,311.46 = 3,680.18/x
  3. Step 3: Cross multiply
    13,540.69x = 20,311.46 × 3,680.18
  4. Step 4: Simplify right side
    13,540.69x = 74,749,798.87
  5. Step 5: Solve for x
    x = 74,749,798.87/13,540.69
  6. Step 6: Final answer
    x = 5,520.38

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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.