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Finding the Fourth Proportional to 22,806.20, 34,212.80 and 6,166.78

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Solution

The fourth proportional to 22,806.20, 34,212.80 and 6,166.78 is: 9,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.20 : 34,212.80 = 6,166.78 : x
  2. Step 2: Convert to fraction form
    22,806.20/34,212.80 = 6,166.78/x
  3. Step 3: Cross multiply
    22,806.20x = 34,212.80 × 6,166.78
  4. Step 4: Simplify right side
    22,806.20x = 210,982,810.78
  5. Step 5: Solve for x
    x = 210,982,810.78/22,806.20
  6. Step 6: Final answer
    x = 9,251.12

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