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Finding the Fourth Proportional to 26,745.84, 40,107.76 and 8,019.28

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Solution

The fourth proportional to 26,745.84, 40,107.76 and 8,019.28 is: 12,025.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,745.84 : 40,107.76 = 8,019.28 : x
  2. Step 2: Convert to fraction form
    26,745.84/40,107.76 = 8,019.28/x
  3. Step 3: Cross multiply
    26,745.84x = 40,107.76 × 8,019.28
  4. Step 4: Simplify right side
    26,745.84x = 321,635,357.61
  5. Step 5: Solve for x
    x = 321,635,357.61/26,745.84
  6. Step 6: Final answer
    x = 12,025.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.