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Finding the Fourth Proportional to 12,196.44, 18,280.49 and 8,035.47

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Solution

The fourth proportional to 12,196.44, 18,280.49 and 8,035.47 is: 12,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.44 : 18,280.49 = 8,035.47 : x
  2. Step 2: Convert to fraction form
    12,196.44/18,280.49 = 8,035.47/x
  3. Step 3: Cross multiply
    12,196.44x = 18,280.49 × 8,035.47
  4. Step 4: Simplify right side
    12,196.44x = 146,892,288.80
  5. Step 5: Solve for x
    x = 146,892,288.80/12,196.44
  6. Step 6: Final answer
    x = 12,043.87

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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.