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Finding the Fourth Proportional to 26,548.06, 39,822.09 and 6,826.63

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Solution

The fourth proportional to 26,548.06, 39,822.09 and 6,826.63 is: 10,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548.06 : 39,822.09 = 6,826.63 : x
  2. Step 2: Convert to fraction form
    26,548.06/39,822.09 = 6,826.63/x
  3. Step 3: Cross multiply
    26,548.06x = 39,822.09 × 6,826.63
  4. Step 4: Simplify right side
    26,548.06x = 271,850,674.26
  5. Step 5: Solve for x
    x = 271,850,674.26/26,548.06
  6. Step 6: Final answer
    x = 10,239.95

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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.