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Finding the Fourth Proportional to 22,584.66, 33,878.88 and 7,793.70

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Solution

The fourth proportional to 22,584.66, 33,878.88 and 7,793.70 is: 11,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.66 : 33,878.88 = 7,793.70 : x
  2. Step 2: Convert to fraction form
    22,584.66/33,878.88 = 7,793.70/x
  3. Step 3: Cross multiply
    22,584.66x = 33,878.88 × 7,793.70
  4. Step 4: Simplify right side
    22,584.66x = 264,041,827.06
  5. Step 5: Solve for x
    x = 264,041,827.06/22,584.66
  6. Step 6: Final answer
    x = 11,691.20

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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.