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Finding the Fourth Proportional to 21,096.90, 31,640.49 and 6,305.49

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Solution

The fourth proportional to 21,096.90, 31,640.49 and 6,305.49 is: 9,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.90 : 31,640.49 = 6,305.49 : x
  2. Step 2: Convert to fraction form
    21,096.90/31,640.49 = 6,305.49/x
  3. Step 3: Cross multiply
    21,096.90x = 31,640.49 × 6,305.49
  4. Step 4: Simplify right side
    21,096.90x = 199,508,793.29
  5. Step 5: Solve for x
    x = 199,508,793.29/21,096.90
  6. Step 6: Final answer
    x = 9,456.78

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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.