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Finding the Fourth Proportional to 26,924.65, 40,388.52 and 8,205.30

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Solution

The fourth proportional to 26,924.65, 40,388.52 and 8,205.30 is: 12,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,924.65 : 40,388.52 = 8,205.30 : x
  2. Step 2: Convert to fraction form
    26,924.65/40,388.52 = 8,205.30/x
  3. Step 3: Cross multiply
    26,924.65x = 40,388.52 × 8,205.30
  4. Step 4: Simplify right side
    26,924.65x = 331,399,953.93
  5. Step 5: Solve for x
    x = 331,399,953.93/26,924.65
  6. Step 6: Final answer
    x = 12,308.42

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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.