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Finding the Fourth Proportional to 19,997.44, 29,973.12 and 10,744

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Solution

The fourth proportional to 19,997.44, 29,973.12 and 10,744 is: 16,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.44 : 29,973.12 = 10,744 : x
  2. Step 2: Convert to fraction form
    19,997.44/29,973.12 = 10,744/x
  3. Step 3: Cross multiply
    19,997.44x = 29,973.12 × 10,744
  4. Step 4: Simplify right side
    19,997.44x = 322,031,201.28
  5. Step 5: Solve for x
    x = 322,031,201.28/19,997.44
  6. Step 6: Final answer
    x = 16,103.62

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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.