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Finding the Fourth Proportional to 12,136.44, 18,197.37 and 8,229

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Solution

The fourth proportional to 12,136.44, 18,197.37 and 8,229 is: 12,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.44 : 18,197.37 = 8,229 : x
  2. Step 2: Convert to fraction form
    12,136.44/18,197.37 = 8,229/x
  3. Step 3: Cross multiply
    12,136.44x = 18,197.37 × 8,229
  4. Step 4: Simplify right side
    12,136.44x = 149,746,157.73
  5. Step 5: Solve for x
    x = 149,746,157.73/12,136.44
  6. Step 6: Final answer
    x = 12,338.56

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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.