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Finding the Fourth Proportional to 13,674.50, 20,512.19 and 4,314.60

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Solution

The fourth proportional to 13,674.50, 20,512.19 and 4,314.60 is: 6,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.50 : 20,512.19 = 4,314.60 : x
  2. Step 2: Convert to fraction form
    13,674.50/20,512.19 = 4,314.60/x
  3. Step 3: Cross multiply
    13,674.50x = 20,512.19 × 4,314.60
  4. Step 4: Simplify right side
    13,674.50x = 88,501,894.97
  5. Step 5: Solve for x
    x = 88,501,894.97/13,674.50
  6. Step 6: Final answer
    x = 6,472.04

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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.