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Finding the Fourth Proportional to 12,221.69, 16,865.19 and 7,186.80

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Solution

The fourth proportional to 12,221.69, 16,865.19 and 7,186.80 is: 9,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.69 : 16,865.19 = 7,186.80 : x
  2. Step 2: Convert to fraction form
    12,221.69/16,865.19 = 7,186.80/x
  3. Step 3: Cross multiply
    12,221.69x = 16,865.19 × 7,186.80
  4. Step 4: Simplify right side
    12,221.69x = 121,206,743.09
  5. Step 5: Solve for x
    x = 121,206,743.09/12,221.69
  6. Step 6: Final answer
    x = 9,917.35

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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.