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Finding the Fourth Proportional to 27,622.73, 41,434.07 and 6,846.23

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Solution

The fourth proportional to 27,622.73, 41,434.07 and 6,846.23 is: 10,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622.73 : 41,434.07 = 6,846.23 : x
  2. Step 2: Convert to fraction form
    27,622.73/41,434.07 = 6,846.23/x
  3. Step 3: Cross multiply
    27,622.73x = 41,434.07 × 6,846.23
  4. Step 4: Simplify right side
    27,622.73x = 283,667,138.82
  5. Step 5: Solve for x
    x = 283,667,138.82/27,622.73
  6. Step 6: Final answer
    x = 10,269.34

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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.