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Finding the Fourth Proportional to 19,997.20, 29,983.92 and 6,849.28

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Solution

The fourth proportional to 19,997.20, 29,983.92 and 6,849.28 is: 10,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.20 : 29,983.92 = 6,849.28 : x
  2. Step 2: Convert to fraction form
    19,997.20/29,983.92 = 6,849.28/x
  3. Step 3: Cross multiply
    19,997.20x = 29,983.92 × 6,849.28
  4. Step 4: Simplify right side
    19,997.20x = 205,368,263.58
  5. Step 5: Solve for x
    x = 205,368,263.58/19,997.20
  6. Step 6: Final answer
    x = 10,269.85

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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.