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Finding the Fourth Proportional to 13,674.75, 20,512.14 and 3,286.50

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Solution

The fourth proportional to 13,674.75, 20,512.14 and 3,286.50 is: 4,929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.75 : 20,512.14 = 3,286.50 : x
  2. Step 2: Convert to fraction form
    13,674.75/20,512.14 = 3,286.50/x
  3. Step 3: Cross multiply
    13,674.75x = 20,512.14 × 3,286.50
  4. Step 4: Simplify right side
    13,674.75x = 67,413,148.11
  5. Step 5: Solve for x
    x = 67,413,148.11/13,674.75
  6. Step 6: Final answer
    x = 4,929.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.