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Finding the Fourth Proportional to 22,505.83, 33,758.75 and 5,865.82

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Solution

The fourth proportional to 22,505.83, 33,758.75 and 5,865.82 is: 8,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.83 : 33,758.75 = 5,865.82 : x
  2. Step 2: Convert to fraction form
    22,505.83/33,758.75 = 5,865.82/x
  3. Step 3: Cross multiply
    22,505.83x = 33,758.75 × 5,865.82
  4. Step 4: Simplify right side
    22,505.83x = 198,022,750.93
  5. Step 5: Solve for x
    x = 198,022,750.93/22,505.83
  6. Step 6: Final answer
    x = 8,798.73

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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.