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Finding the Fourth Proportional to 27,794.54, 41,692.21 and 9,074.50

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Solution

The fourth proportional to 27,794.54, 41,692.21 and 9,074.50 is: 13,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.54 : 41,692.21 = 9,074.50 : x
  2. Step 2: Convert to fraction form
    27,794.54/41,692.21 = 9,074.50/x
  3. Step 3: Cross multiply
    27,794.54x = 41,692.21 × 9,074.50
  4. Step 4: Simplify right side
    27,794.54x = 378,335,959.65
  5. Step 5: Solve for x
    x = 378,335,959.65/27,794.54
  6. Step 6: Final answer
    x = 13,611.88

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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.