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Finding the Fourth Proportional to 12,728.21, 19,092.09 and 5,230.18

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Solution

The fourth proportional to 12,728.21, 19,092.09 and 5,230.18 is: 7,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.21 : 19,092.09 = 5,230.18 : x
  2. Step 2: Convert to fraction form
    12,728.21/19,092.09 = 5,230.18/x
  3. Step 3: Cross multiply
    12,728.21x = 19,092.09 × 5,230.18
  4. Step 4: Simplify right side
    12,728.21x = 99,855,067.28
  5. Step 5: Solve for x
    x = 99,855,067.28/12,728.21
  6. Step 6: Final answer
    x = 7,845.18

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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.