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Finding the Fourth Proportional to 11,136.80, 16,705.20 and 8,949.80

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Solution

The fourth proportional to 11,136.80, 16,705.20 and 8,949.80 is: 13,424.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.80 : 16,705.20 = 8,949.80 : x
  2. Step 2: Convert to fraction form
    11,136.80/16,705.20 = 8,949.80/x
  3. Step 3: Cross multiply
    11,136.80x = 16,705.20 × 8,949.80
  4. Step 4: Simplify right side
    11,136.80x = 149,508,198.96
  5. Step 5: Solve for x
    x = 149,508,198.96/11,136.80
  6. Step 6: Final answer
    x = 13,424.70

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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.