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Finding the Fourth Proportional to 13,674.75, 20,512.12 and 3,814.14

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Solution

The fourth proportional to 13,674.75, 20,512.12 and 3,814.14 is: 5,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.75 : 20,512.12 = 3,814.14 : x
  2. Step 2: Convert to fraction form
    13,674.75/20,512.12 = 3,814.14/x
  3. Step 3: Cross multiply
    13,674.75x = 20,512.12 × 3,814.14
  4. Step 4: Simplify right side
    13,674.75x = 78,236,097.38
  5. Step 5: Solve for x
    x = 78,236,097.38/13,674.75
  6. Step 6: Final answer
    x = 5,721.21

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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.