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Finding the Fourth Proportional to 19,778.58, 27,282.15 and 12,227.22

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Solution

The fourth proportional to 19,778.58, 27,282.15 and 12,227.22 is: 16,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.58 : 27,282.15 = 12,227.22 : x
  2. Step 2: Convert to fraction form
    19,778.58/27,282.15 = 12,227.22/x
  3. Step 3: Cross multiply
    19,778.58x = 27,282.15 × 12,227.22
  4. Step 4: Simplify right side
    19,778.58x = 333,584,850.12
  5. Step 5: Solve for x
    x = 333,584,850.12/19,778.58
  6. Step 6: Final answer
    x = 16,865.97

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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.