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Finding the Fourth Proportional to 12,196.98, 18,294.26 and 8,273.41

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Solution

The fourth proportional to 12,196.98, 18,294.26 and 8,273.41 is: 12,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.98 : 18,294.26 = 8,273.41 : x
  2. Step 2: Convert to fraction form
    12,196.98/18,294.26 = 8,273.41/x
  3. Step 3: Cross multiply
    12,196.98x = 18,294.26 × 8,273.41
  4. Step 4: Simplify right side
    12,196.98x = 151,355,826.52
  5. Step 5: Solve for x
    x = 151,355,826.52/12,196.98
  6. Step 6: Final answer
    x = 12,409.29

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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.