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Finding the Fourth Proportional to 13,673, 20,512.20 and 4,908.56

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Solution

The fourth proportional to 13,673, 20,512.20 and 4,908.56 is: 7,363.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673 : 20,512.20 = 4,908.56 : x
  2. Step 2: Convert to fraction form
    13,673/20,512.20 = 4,908.56/x
  3. Step 3: Cross multiply
    13,673x = 20,512.20 × 4,908.56
  4. Step 4: Simplify right side
    13,673x = 100,685,364.43
  5. Step 5: Solve for x
    x = 100,685,364.43/13,673
  6. Step 6: Final answer
    x = 7,363.81

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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.