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Finding the Fourth Proportional to 21,273.98, 31,910.49 and 6,482.43

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Solution

The fourth proportional to 21,273.98, 31,910.49 and 6,482.43 is: 9,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,273.98 : 31,910.49 = 6,482.43 : x
  2. Step 2: Convert to fraction form
    21,273.98/31,910.49 = 6,482.43/x
  3. Step 3: Cross multiply
    21,273.98x = 31,910.49 × 6,482.43
  4. Step 4: Simplify right side
    21,273.98x = 206,857,517.69
  5. Step 5: Solve for x
    x = 206,857,517.69/21,273.98
  6. Step 6: Final answer
    x = 9,723.50

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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.