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Finding the Fourth Proportional to 21,833.93, 32,750.80 and 6,251.56

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Solution

The fourth proportional to 21,833.93, 32,750.80 and 6,251.56 is: 9,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.93 : 32,750.80 = 6,251.56 : x
  2. Step 2: Convert to fraction form
    21,833.93/32,750.80 = 6,251.56/x
  3. Step 3: Cross multiply
    21,833.93x = 32,750.80 × 6,251.56
  4. Step 4: Simplify right side
    21,833.93x = 204,743,591.25
  5. Step 5: Solve for x
    x = 204,743,591.25/21,833.93
  6. Step 6: Final answer
    x = 9,377.31

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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.