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Finding the Fourth Proportional to 12,196.89, 16,827.18 and 7,161.33

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Solution

The fourth proportional to 12,196.89, 16,827.18 and 7,161.33 is: 9,879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.89 : 16,827.18 = 7,161.33 : x
  2. Step 2: Convert to fraction form
    12,196.89/16,827.18 = 7,161.33/x
  3. Step 3: Cross multiply
    12,196.89x = 16,827.18 × 7,161.33
  4. Step 4: Simplify right side
    12,196.89x = 120,504,988.95
  5. Step 5: Solve for x
    x = 120,504,988.95/12,196.89
  6. Step 6: Final answer
    x = 9,879.98

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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.