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Finding the Fourth Proportional to 15,932.82, 21,982.16 and 8,857.88

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Solution

The fourth proportional to 15,932.82, 21,982.16 and 8,857.88 is: 12,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932.82 : 21,982.16 = 8,857.88 : x
  2. Step 2: Convert to fraction form
    15,932.82/21,982.16 = 8,857.88/x
  3. Step 3: Cross multiply
    15,932.82x = 21,982.16 × 8,857.88
  4. Step 4: Simplify right side
    15,932.82x = 194,715,335.42
  5. Step 5: Solve for x
    x = 194,715,335.42/15,932.82
  6. Step 6: Final answer
    x = 12,221.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.