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Finding the Fourth Proportional to 20,136.50, 27,788.57 and 11,184.99

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Solution

The fourth proportional to 20,136.50, 27,788.57 and 11,184.99 is: 15,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136.50 : 27,788.57 = 11,184.99 : x
  2. Step 2: Convert to fraction form
    20,136.50/27,788.57 = 11,184.99/x
  3. Step 3: Cross multiply
    20,136.50x = 27,788.57 × 11,184.99
  4. Step 4: Simplify right side
    20,136.50x = 310,814,759.38
  5. Step 5: Solve for x
    x = 310,814,759.38/20,136.50
  6. Step 6: Final answer
    x = 15,435.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.