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Finding the Fourth Proportional to 22,806.21, 34,211.14 and 8,018.44

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Solution

The fourth proportional to 22,806.21, 34,211.14 and 8,018.44 is: 12,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.21 : 34,211.14 = 8,018.44 : x
  2. Step 2: Convert to fraction form
    22,806.21/34,211.14 = 8,018.44/x
  3. Step 3: Cross multiply
    22,806.21x = 34,211.14 × 8,018.44
  4. Step 4: Simplify right side
    22,806.21x = 274,320,105.39
  5. Step 5: Solve for x
    x = 274,320,105.39/22,806.21
  6. Step 6: Final answer
    x = 12,028.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.