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Finding the Fourth Proportional to 22,584.74, 33,876.62 and 7,793.16

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Solution

The fourth proportional to 22,584.74, 33,876.62 and 7,793.16 is: 11,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.74 : 33,876.62 = 7,793.16 : x
  2. Step 2: Convert to fraction form
    22,584.74/33,876.62 = 7,793.16/x
  3. Step 3: Cross multiply
    22,584.74x = 33,876.62 × 7,793.16
  4. Step 4: Simplify right side
    22,584.74x = 264,005,919.92
  5. Step 5: Solve for x
    x = 264,005,919.92/22,584.74
  6. Step 6: Final answer
    x = 11,689.57

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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.