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Finding the Fourth Proportional to 12,400.80, 18,596.80 and 3,633.44

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Solution

The fourth proportional to 12,400.80, 18,596.80 and 3,633.44 is: 5,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,400.80 : 18,596.80 = 3,633.44 : x
  2. Step 2: Convert to fraction form
    12,400.80/18,596.80 = 3,633.44/x
  3. Step 3: Cross multiply
    12,400.80x = 18,596.80 × 3,633.44
  4. Step 4: Simplify right side
    12,400.80x = 67,570,356.99
  5. Step 5: Solve for x
    x = 67,570,356.99/12,400.80
  6. Step 6: Final answer
    x = 5,448.87

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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.