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Finding the Fourth Proportional to 21,487.42, 32,233.31 and 7,447.42

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Solution

The fourth proportional to 21,487.42, 32,233.31 and 7,447.42 is: 11,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,487.42 : 32,233.31 = 7,447.42 : x
  2. Step 2: Convert to fraction form
    21,487.42/32,233.31 = 7,447.42/x
  3. Step 3: Cross multiply
    21,487.42x = 32,233.31 × 7,447.42
  4. Step 4: Simplify right side
    21,487.42x = 240,054,997.56
  5. Step 5: Solve for x
    x = 240,054,997.56/21,487.42
  6. Step 6: Final answer
    x = 11,171.89

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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.