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Finding the Fourth Proportional to 16,379.82, 24,569.72 and 4,067.82

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Solution

The fourth proportional to 16,379.82, 24,569.72 and 4,067.82 is: 6,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.82 : 24,569.72 = 4,067.82 : x
  2. Step 2: Convert to fraction form
    16,379.82/24,569.72 = 4,067.82/x
  3. Step 3: Cross multiply
    16,379.82x = 24,569.72 × 4,067.82
  4. Step 4: Simplify right side
    16,379.82x = 99,945,178.07
  5. Step 5: Solve for x
    x = 99,945,178.07/16,379.82
  6. Step 6: Final answer
    x = 6,101.73

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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.