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Finding the Fourth Proportional to 12,367.20, 18,525.60 and 7,672.80

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Solution

The fourth proportional to 12,367.20, 18,525.60 and 7,672.80 is: 11,493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.20 : 18,525.60 = 7,672.80 : x
  2. Step 2: Convert to fraction form
    12,367.20/18,525.60 = 7,672.80/x
  3. Step 3: Cross multiply
    12,367.20x = 18,525.60 × 7,672.80
  4. Step 4: Simplify right side
    12,367.20x = 142,143,223.68
  5. Step 5: Solve for x
    x = 142,143,223.68/12,367.20
  6. Step 6: Final answer
    x = 11,493.57

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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.