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Finding the Fourth Proportional to 26,924.50, 40,388.74 and 8,206.14

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Solution

The fourth proportional to 26,924.50, 40,388.74 and 8,206.14 is: 12,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,924.50 : 40,388.74 = 8,206.14 : x
  2. Step 2: Convert to fraction form
    26,924.50/40,388.74 = 8,206.14/x
  3. Step 3: Cross multiply
    26,924.50x = 40,388.74 × 8,206.14
  4. Step 4: Simplify right side
    26,924.50x = 331,435,634.35
  5. Step 5: Solve for x
    x = 331,435,634.35/26,924.50
  6. Step 6: Final answer
    x = 12,309.82

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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.