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Finding the Fourth Proportional to 24,136.50, 36,209.74 and 11,665.20

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Solution

The fourth proportional to 24,136.50, 36,209.74 and 11,665.20 is: 17,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136.50 : 36,209.74 = 11,665.20 : x
  2. Step 2: Convert to fraction form
    24,136.50/36,209.74 = 11,665.20/x
  3. Step 3: Cross multiply
    24,136.50x = 36,209.74 × 11,665.20
  4. Step 4: Simplify right side
    24,136.50x = 422,393,859.05
  5. Step 5: Solve for x
    x = 422,393,859.05/24,136.50
  6. Step 6: Final answer
    x = 17,500.21

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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.