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Finding the Fourth Proportional to 26,024.28, 39,042.64 and 8,494.14

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Solution

The fourth proportional to 26,024.28, 39,042.64 and 8,494.14 is: 12,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,024.28 : 39,042.64 = 8,494.14 : x
  2. Step 2: Convert to fraction form
    26,024.28/39,042.64 = 8,494.14/x
  3. Step 3: Cross multiply
    26,024.28x = 39,042.64 × 8,494.14
  4. Step 4: Simplify right side
    26,024.28x = 331,633,650.13
  5. Step 5: Solve for x
    x = 331,633,650.13/26,024.28
  6. Step 6: Final answer
    x = 12,743.24

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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.