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Finding the Fourth Proportional to 13,674.42, 20,512.08 and 3,812.87

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Solution

The fourth proportional to 13,674.42, 20,512.08 and 3,812.87 is: 5,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.42 : 20,512.08 = 3,812.87 : x
  2. Step 2: Convert to fraction form
    13,674.42/20,512.08 = 3,812.87/x
  3. Step 3: Cross multiply
    13,674.42x = 20,512.08 × 3,812.87
  4. Step 4: Simplify right side
    13,674.42x = 78,209,791.91
  5. Step 5: Solve for x
    x = 78,209,791.91/13,674.42
  6. Step 6: Final answer
    x = 5,719.42

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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.