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Finding the Fourth Proportional to 21,529.67, 32,294.50 and 11,731.22

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Solution

The fourth proportional to 21,529.67, 32,294.50 and 11,731.22 is: 17,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,529.67 : 32,294.50 = 11,731.22 : x
  2. Step 2: Convert to fraction form
    21,529.67/32,294.50 = 11,731.22/x
  3. Step 3: Cross multiply
    21,529.67x = 32,294.50 × 11,731.22
  4. Step 4: Simplify right side
    21,529.67x = 378,853,814.59
  5. Step 5: Solve for x
    x = 378,853,814.59/21,529.67
  6. Step 6: Final answer
    x = 17,596.83

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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.