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Finding the Fourth Proportional to 22,136.50, 33,184.74 and 8,086.62

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Solution

The fourth proportional to 22,136.50, 33,184.74 and 8,086.62 is: 12,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,136.50 : 33,184.74 = 8,086.62 : x
  2. Step 2: Convert to fraction form
    22,136.50/33,184.74 = 8,086.62/x
  3. Step 3: Cross multiply
    22,136.50x = 33,184.74 × 8,086.62
  4. Step 4: Simplify right side
    22,136.50x = 268,352,382.18
  5. Step 5: Solve for x
    x = 268,352,382.18/22,136.50
  6. Step 6: Final answer
    x = 12,122.62

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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.