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Finding the Fourth Proportional to 21,747.09, 32,635.23 and 7,896.09

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Solution

The fourth proportional to 21,747.09, 32,635.23 and 7,896.09 is: 11,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,747.09 : 32,635.23 = 7,896.09 : x
  2. Step 2: Convert to fraction form
    21,747.09/32,635.23 = 7,896.09/x
  3. Step 3: Cross multiply
    21,747.09x = 32,635.23 × 7,896.09
  4. Step 4: Simplify right side
    21,747.09x = 257,690,713.25
  5. Step 5: Solve for x
    x = 257,690,713.25/21,747.09
  6. Step 6: Final answer
    x = 11,849.43

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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.