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Finding the Fourth Proportional to 19,183.84, 28,782.78 and 8,093.32

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Solution

The fourth proportional to 19,183.84, 28,782.78 and 8,093.32 is: 12,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.84 : 28,782.78 = 8,093.32 : x
  2. Step 2: Convert to fraction form
    19,183.84/28,782.78 = 8,093.32/x
  3. Step 3: Cross multiply
    19,183.84x = 28,782.78 × 8,093.32
  4. Step 4: Simplify right side
    19,183.84x = 232,948,249.03
  5. Step 5: Solve for x
    x = 232,948,249.03/19,183.84
  6. Step 6: Final answer
    x = 12,142.94

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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.