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Finding the Fourth Proportional to 26,546.30, 39,826.38 and 9,906.47

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Solution

The fourth proportional to 26,546.30, 39,826.38 and 9,906.47 is: 14,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546.30 : 39,826.38 = 9,906.47 : x
  2. Step 2: Convert to fraction form
    26,546.30/39,826.38 = 9,906.47/x
  3. Step 3: Cross multiply
    26,546.30x = 39,826.38 × 9,906.47
  4. Step 4: Simplify right side
    26,546.30x = 394,538,826.04
  5. Step 5: Solve for x
    x = 394,538,826.04/26,546.30
  6. Step 6: Final answer
    x = 14,862.29

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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.