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Finding the Fourth Proportional to 21,267.80, 31,906.31 and 6,476.33

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Solution

The fourth proportional to 21,267.80, 31,906.31 and 6,476.33 is: 9,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267.80 : 31,906.31 = 6,476.33 : x
  2. Step 2: Convert to fraction form
    21,267.80/31,906.31 = 6,476.33/x
  3. Step 3: Cross multiply
    21,267.80x = 31,906.31 × 6,476.33
  4. Step 4: Simplify right side
    21,267.80x = 206,635,600.73
  5. Step 5: Solve for x
    x = 206,635,600.73/21,267.80
  6. Step 6: Final answer
    x = 9,715.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.