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Finding the Fourth Proportional to 22,262.74, 33,390.84 and 8,408.50

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Solution

The fourth proportional to 22,262.74, 33,390.84 and 8,408.50 is: 12,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.74 : 33,390.84 = 8,408.50 : x
  2. Step 2: Convert to fraction form
    22,262.74/33,390.84 = 8,408.50/x
  3. Step 3: Cross multiply
    22,262.74x = 33,390.84 × 8,408.50
  4. Step 4: Simplify right side
    22,262.74x = 280,766,878.14
  5. Step 5: Solve for x
    x = 280,766,878.14/22,262.74
  6. Step 6: Final answer
    x = 12,611.51

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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.