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Finding the Fourth Proportional to 16,379, 24,568.53 and 4,067

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Solution

The fourth proportional to 16,379, 24,568.53 and 4,067 is: 6,100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379 : 24,568.53 = 4,067 : x
  2. Step 2: Convert to fraction form
    16,379/24,568.53 = 4,067/x
  3. Step 3: Cross multiply
    16,379x = 24,568.53 × 4,067
  4. Step 4: Simplify right side
    16,379x = 99,920,211.51
  5. Step 5: Solve for x
    x = 99,920,211.51/16,379
  6. Step 6: Final answer
    x = 6,100.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.