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Finding the Fourth Proportional to 22,591.89, 33,890.82 and 8,358.44

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Solution

The fourth proportional to 22,591.89, 33,890.82 and 8,358.44 is: 12,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591.89 : 33,890.82 = 8,358.44 : x
  2. Step 2: Convert to fraction form
    22,591.89/33,890.82 = 8,358.44/x
  3. Step 3: Cross multiply
    22,591.89x = 33,890.82 × 8,358.44
  4. Step 4: Simplify right side
    22,591.89x = 283,274,216.07
  5. Step 5: Solve for x
    x = 283,274,216.07/22,591.89
  6. Step 6: Final answer
    x = 12,538.76

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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.