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Finding the Fourth Proportional to 13,997.20, 20,952.60 and 8,136.40

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Solution

The fourth proportional to 13,997.20, 20,952.60 and 8,136.40 is: 12,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.20 : 20,952.60 = 8,136.40 : x
  2. Step 2: Convert to fraction form
    13,997.20/20,952.60 = 8,136.40/x
  3. Step 3: Cross multiply
    13,997.20x = 20,952.60 × 8,136.40
  4. Step 4: Simplify right side
    13,997.20x = 170,478,734.64
  5. Step 5: Solve for x
    x = 170,478,734.64/13,997.20
  6. Step 6: Final answer
    x = 12,179.49

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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.