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Finding the Fourth Proportional to 22,806.41, 34,195.62 and 8,017.02

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Solution

The fourth proportional to 22,806.41, 34,195.62 and 8,017.02 is: 12,020.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.41 : 34,195.62 = 8,017.02 : x
  2. Step 2: Convert to fraction form
    22,806.41/34,195.62 = 8,017.02/x
  3. Step 3: Cross multiply
    22,806.41x = 34,195.62 × 8,017.02
  4. Step 4: Simplify right side
    22,806.41x = 274,146,969.45
  5. Step 5: Solve for x
    x = 274,146,969.45/22,806.41
  6. Step 6: Final answer
    x = 12,020.61

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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.