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Finding the Fourth Proportional to 19,691.82, 29,538 and 10,982.10

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Solution

The fourth proportional to 19,691.82, 29,538 and 10,982.10 is: 16,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.82 : 29,538 = 10,982.10 : x
  2. Step 2: Convert to fraction form
    19,691.82/29,538 = 10,982.10/x
  3. Step 3: Cross multiply
    19,691.82x = 29,538 × 10,982.10
  4. Step 4: Simplify right side
    19,691.82x = 324,389,269.80
  5. Step 5: Solve for x
    x = 324,389,269.80/19,691.82
  6. Step 6: Final answer
    x = 16,473.30

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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.