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Finding the Fourth Proportional to 26,842.41, 40,267.73 and 8,824.97

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Solution

The fourth proportional to 26,842.41, 40,267.73 and 8,824.97 is: 13,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.41 : 40,267.73 = 8,824.97 : x
  2. Step 2: Convert to fraction form
    26,842.41/40,267.73 = 8,824.97/x
  3. Step 3: Cross multiply
    26,842.41x = 40,267.73 × 8,824.97
  4. Step 4: Simplify right side
    26,842.41x = 355,361,631.95
  5. Step 5: Solve for x
    x = 355,361,631.95/26,842.41
  6. Step 6: Final answer
    x = 13,238.81

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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.