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Finding the Fourth Proportional to 20,622, 30,917.82 and 6,573.93

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Solution

The fourth proportional to 20,622, 30,917.82 and 6,573.93 is: 9,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,622 : 30,917.82 = 6,573.93 : x
  2. Step 2: Convert to fraction form
    20,622/30,917.82 = 6,573.93/x
  3. Step 3: Cross multiply
    20,622x = 30,917.82 × 6,573.93
  4. Step 4: Simplify right side
    20,622x = 203,251,584.43
  5. Step 5: Solve for x
    x = 203,251,584.43/20,622
  6. Step 6: Final answer
    x = 9,856.06

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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.