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Finding the Fourth Proportional to 12,196.41, 18,294.20 and 5,171.90

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Solution

The fourth proportional to 12,196.41, 18,294.20 and 5,171.90 is: 7,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.41 : 18,294.20 = 5,171.90 : x
  2. Step 2: Convert to fraction form
    12,196.41/18,294.20 = 5,171.90/x
  3. Step 3: Cross multiply
    12,196.41x = 18,294.20 × 5,171.90
  4. Step 4: Simplify right side
    12,196.41x = 94,615,655.65
  5. Step 5: Solve for x
    x = 94,615,655.65/12,196.41
  6. Step 6: Final answer
    x = 7,757.66

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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.