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Finding the Fourth Proportional to 26,546.94, 39,821.22 and 6,825.33

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Solution

The fourth proportional to 26,546.94, 39,821.22 and 6,825.33 is: 10,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.94 : 39,821.22 = 6,825.33 : x
  2. Step 2: Convert to fraction form
    26,546.94/39,821.22 = 6,825.33/x
  3. Step 3: Cross multiply
    26,546.94x = 39,821.22 × 6,825.33
  4. Step 4: Simplify right side
    26,546.94x = 271,792,967.50
  5. Step 5: Solve for x
    x = 271,792,967.50/26,546.94
  6. Step 6: Final answer
    x = 10,238.20

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Why These Related Problems?

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