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Finding the Fourth Proportional to 26,825.36, 40,238.09 and 9,295.20

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Solution

The fourth proportional to 26,825.36, 40,238.09 and 9,295.20 is: 13,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,825.36 : 40,238.09 = 9,295.20 : x
  2. Step 2: Convert to fraction form
    26,825.36/40,238.09 = 9,295.20/x
  3. Step 3: Cross multiply
    26,825.36x = 40,238.09 × 9,295.20
  4. Step 4: Simplify right side
    26,825.36x = 374,021,047.69
  5. Step 5: Solve for x
    x = 374,021,047.69/26,825.36
  6. Step 6: Final answer
    x = 13,942.82

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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.