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Finding the Fourth Proportional to 27,622.70, 41,434 and 6,846.20

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Solution

The fourth proportional to 27,622.70, 41,434 and 6,846.20 is: 10,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622.70 : 41,434 = 6,846.20 : x
  2. Step 2: Convert to fraction form
    27,622.70/41,434 = 6,846.20/x
  3. Step 3: Cross multiply
    27,622.70x = 41,434 × 6,846.20
  4. Step 4: Simplify right side
    27,622.70x = 283,665,450.80
  5. Step 5: Solve for x
    x = 283,665,450.80/27,622.70
  6. Step 6: Final answer
    x = 10,269.29

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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.