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Finding the Fourth Proportional to 24,227, 36,340.50 and 7,811

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Solution

The fourth proportional to 24,227, 36,340.50 and 7,811 is: 11,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,227 : 36,340.50 = 7,811 : x
  2. Step 2: Convert to fraction form
    24,227/36,340.50 = 7,811/x
  3. Step 3: Cross multiply
    24,227x = 36,340.50 × 7,811
  4. Step 4: Simplify right side
    24,227x = 283,855,645.50
  5. Step 5: Solve for x
    x = 283,855,645.50/24,227
  6. Step 6: Final answer
    x = 11,716.50

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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.