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Finding the Fourth Proportional to 22,806.30, 34,211.82 and 6,166.44

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Solution

The fourth proportional to 22,806.30, 34,211.82 and 6,166.44 is: 9,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.30 : 34,211.82 = 6,166.44 : x
  2. Step 2: Convert to fraction form
    22,806.30/34,211.82 = 6,166.44/x
  3. Step 3: Cross multiply
    22,806.30x = 34,211.82 × 6,166.44
  4. Step 4: Simplify right side
    22,806.30x = 210,965,135.32
  5. Step 5: Solve for x
    x = 210,965,135.32/22,806.30
  6. Step 6: Final answer
    x = 9,250.30

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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.