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Finding the Fourth Proportional to 16,227.82, 22,394.38 and 8,775.82

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Solution

The fourth proportional to 16,227.82, 22,394.38 and 8,775.82 is: 12,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.82 : 22,394.38 = 8,775.82 : x
  2. Step 2: Convert to fraction form
    16,227.82/22,394.38 = 8,775.82/x
  3. Step 3: Cross multiply
    16,227.82x = 22,394.38 × 8,775.82
  4. Step 4: Simplify right side
    16,227.82x = 196,529,047.89
  5. Step 5: Solve for x
    x = 196,529,047.89/16,227.82
  6. Step 6: Final answer
    x = 12,110.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.