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Finding the Fourth Proportional to 15,198.56, 20,968.24 and 9,227.96

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Solution

The fourth proportional to 15,198.56, 20,968.24 and 9,227.96 is: 12,731.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.56 : 20,968.24 = 9,227.96 : x
  2. Step 2: Convert to fraction form
    15,198.56/20,968.24 = 9,227.96/x
  3. Step 3: Cross multiply
    15,198.56x = 20,968.24 × 9,227.96
  4. Step 4: Simplify right side
    15,198.56x = 193,494,079.99
  5. Step 5: Solve for x
    x = 193,494,079.99/15,198.56
  6. Step 6: Final answer
    x = 12,731.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.