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Finding the Fourth Proportional to 13,540.57, 20,310.68 and 3,679.76

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Solution

The fourth proportional to 13,540.57, 20,310.68 and 3,679.76 is: 5,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.57 : 20,310.68 = 3,679.76 : x
  2. Step 2: Convert to fraction form
    13,540.57/20,310.68 = 3,679.76/x
  3. Step 3: Cross multiply
    13,540.57x = 20,310.68 × 3,679.76
  4. Step 4: Simplify right side
    13,540.57x = 74,738,487.81
  5. Step 5: Solve for x
    x = 74,738,487.81/13,540.57
  6. Step 6: Final answer
    x = 5,519.60

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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.