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Finding the Fourth Proportional to 12,200.88, 18,257.52 and 7,797.72

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Solution

The fourth proportional to 12,200.88, 18,257.52 and 7,797.72 is: 11,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.88 : 18,257.52 = 7,797.72 : x
  2. Step 2: Convert to fraction form
    12,200.88/18,257.52 = 7,797.72/x
  3. Step 3: Cross multiply
    12,200.88x = 18,257.52 × 7,797.72
  4. Step 4: Simplify right side
    12,200.88x = 142,367,028.85
  5. Step 5: Solve for x
    x = 142,367,028.85/12,200.88
  6. Step 6: Final answer
    x = 11,668.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.