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Finding the Fourth Proportional to 21,717.66, 32,575.88 and 9,231.42

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Solution

The fourth proportional to 21,717.66, 32,575.88 and 9,231.42 is: 13,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,717.66 : 32,575.88 = 9,231.42 : x
  2. Step 2: Convert to fraction form
    21,717.66/32,575.88 = 9,231.42/x
  3. Step 3: Cross multiply
    21,717.66x = 32,575.88 × 9,231.42
  4. Step 4: Simplify right side
    21,717.66x = 300,721,630.15
  5. Step 5: Solve for x
    x = 300,721,630.15/21,717.66
  6. Step 6: Final answer
    x = 13,846.87

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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.