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Finding the Fourth Proportional to 26,024.78, 39,043.39 and 8,494.64

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Solution

The fourth proportional to 26,024.78, 39,043.39 and 8,494.64 is: 12,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,024.78 : 39,043.39 = 8,494.64 : x
  2. Step 2: Convert to fraction form
    26,024.78/39,043.39 = 8,494.64/x
  3. Step 3: Cross multiply
    26,024.78x = 39,043.39 × 8,494.64
  4. Step 4: Simplify right side
    26,024.78x = 331,659,542.43
  5. Step 5: Solve for x
    x = 331,659,542.43/26,024.78
  6. Step 6: Final answer
    x = 12,743.99

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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.