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Finding the Fourth Proportional to 12,196.56, 18,293.22 and 5,179.38

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Solution

The fourth proportional to 12,196.56, 18,293.22 and 5,179.38 is: 7,768.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.56 : 18,293.22 = 5,179.38 : x
  2. Step 2: Convert to fraction form
    12,196.56/18,293.22 = 5,179.38/x
  3. Step 3: Cross multiply
    12,196.56x = 18,293.22 × 5,179.38
  4. Step 4: Simplify right side
    12,196.56x = 94,747,537.80
  5. Step 5: Solve for x
    x = 94,747,537.80/12,196.56
  6. Step 6: Final answer
    x = 7,768.38

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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.