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Finding the Fourth Proportional to 13,697.87, 20,546.84 and 3,309.62

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Solution

The fourth proportional to 13,697.87, 20,546.84 and 3,309.62 is: 4,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.87 : 20,546.84 = 3,309.62 : x
  2. Step 2: Convert to fraction form
    13,697.87/20,546.84 = 3,309.62/x
  3. Step 3: Cross multiply
    13,697.87x = 20,546.84 × 3,309.62
  4. Step 4: Simplify right side
    13,697.87x = 68,002,267.42
  5. Step 5: Solve for x
    x = 68,002,267.42/13,697.87
  6. Step 6: Final answer
    x = 4,964.44

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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.