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Finding the Fourth Proportional to 13,767.50, 20,651.18 and 3,906.80

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Solution

The fourth proportional to 13,767.50, 20,651.18 and 3,906.80 is: 5,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.50 : 20,651.18 = 3,906.80 : x
  2. Step 2: Convert to fraction form
    13,767.50/20,651.18 = 3,906.80/x
  3. Step 3: Cross multiply
    13,767.50x = 20,651.18 × 3,906.80
  4. Step 4: Simplify right side
    13,767.50x = 80,679,926.77
  5. Step 5: Solve for x
    x = 80,679,926.77/13,767.50
  6. Step 6: Final answer
    x = 5,860.17

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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.