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Finding the Fourth Proportional to 14,571.50, 21,879.11 and 8,338.55

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Solution

The fourth proportional to 14,571.50, 21,879.11 and 8,338.55 is: 12,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.50 : 21,879.11 = 8,338.55 : x
  2. Step 2: Convert to fraction form
    14,571.50/21,879.11 = 8,338.55/x
  3. Step 3: Cross multiply
    14,571.50x = 21,879.11 × 8,338.55
  4. Step 4: Simplify right side
    14,571.50x = 182,439,964.14
  5. Step 5: Solve for x
    x = 182,439,964.14/14,571.50
  6. Step 6: Final answer
    x = 12,520.33

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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.