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Finding the Fourth Proportional to 21,343.89, 32,020.17 and 7,493.97

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Solution

The fourth proportional to 21,343.89, 32,020.17 and 7,493.97 is: 11,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.89 : 32,020.17 = 7,493.97 : x
  2. Step 2: Convert to fraction form
    21,343.89/32,020.17 = 7,493.97/x
  3. Step 3: Cross multiply
    21,343.89x = 32,020.17 × 7,493.97
  4. Step 4: Simplify right side
    21,343.89x = 239,958,193.37
  5. Step 5: Solve for x
    x = 239,958,193.37/21,343.89
  6. Step 6: Final answer
    x = 11,242.48

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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.