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Finding the Fourth Proportional to 14,843.50, 22,245.81 and 8,272.78

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Solution

The fourth proportional to 14,843.50, 22,245.81 and 8,272.78 is: 12,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.50 : 22,245.81 = 8,272.78 : x
  2. Step 2: Convert to fraction form
    14,843.50/22,245.81 = 8,272.78/x
  3. Step 3: Cross multiply
    14,843.50x = 22,245.81 × 8,272.78
  4. Step 4: Simplify right side
    14,843.50x = 184,034,692.05
  5. Step 5: Solve for x
    x = 184,034,692.05/14,843.50
  6. Step 6: Final answer
    x = 12,398.34

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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.