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Finding the Fourth Proportional to 16,249.68, 24,369.66 and 5,859

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Solution

The fourth proportional to 16,249.68, 24,369.66 and 5,859 is: 8,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.68 : 24,369.66 = 5,859 : x
  2. Step 2: Convert to fraction form
    16,249.68/24,369.66 = 5,859/x
  3. Step 3: Cross multiply
    16,249.68x = 24,369.66 × 5,859
  4. Step 4: Simplify right side
    16,249.68x = 142,781,837.94
  5. Step 5: Solve for x
    x = 142,781,837.94/16,249.68
  6. Step 6: Final answer
    x = 8,786.75

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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.