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Finding the Fourth Proportional to 13,821.69, 20,729.49 and 5,500.16

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Solution

The fourth proportional to 13,821.69, 20,729.49 and 5,500.16 is: 8,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.69 : 20,729.49 = 5,500.16 : x
  2. Step 2: Convert to fraction form
    13,821.69/20,729.49 = 5,500.16/x
  3. Step 3: Cross multiply
    13,821.69x = 20,729.49 × 5,500.16
  4. Step 4: Simplify right side
    13,821.69x = 114,015,408.07
  5. Step 5: Solve for x
    x = 114,015,408.07/13,821.69
  6. Step 6: Final answer
    x = 8,249.02

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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.