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Finding the Fourth Proportional to 22,013.75, 33,025.49 and 8,162.75

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Solution

The fourth proportional to 22,013.75, 33,025.49 and 8,162.75 is: 12,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013.75 : 33,025.49 = 8,162.75 : x
  2. Step 2: Convert to fraction form
    22,013.75/33,025.49 = 8,162.75/x
  3. Step 3: Cross multiply
    22,013.75x = 33,025.49 × 8,162.75
  4. Step 4: Simplify right side
    22,013.75x = 269,578,818.50
  5. Step 5: Solve for x
    x = 269,578,818.50/22,013.75
  6. Step 6: Final answer
    x = 12,245.93

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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.