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Finding the Fourth Proportional to 26,953.14, 40,435.66 and 8,234.64

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Solution

The fourth proportional to 26,953.14, 40,435.66 and 8,234.64 is: 12,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,953.14 : 40,435.66 = 8,234.64 : x
  2. Step 2: Convert to fraction form
    26,953.14/40,435.66 = 8,234.64/x
  3. Step 3: Cross multiply
    26,953.14x = 40,435.66 × 8,234.64
  4. Step 4: Simplify right side
    26,953.14x = 332,973,109.65
  5. Step 5: Solve for x
    x = 332,973,109.65/26,953.14
  6. Step 6: Final answer
    x = 12,353.78

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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.