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Finding the Fourth Proportional to 12,183.99, 16,814.70 and 6,878.94

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Solution

The fourth proportional to 12,183.99, 16,814.70 and 6,878.94 is: 9,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.99 : 16,814.70 = 6,878.94 : x
  2. Step 2: Convert to fraction form
    12,183.99/16,814.70 = 6,878.94/x
  3. Step 3: Cross multiply
    12,183.99x = 16,814.70 × 6,878.94
  4. Step 4: Simplify right side
    12,183.99x = 115,667,312.42
  5. Step 5: Solve for x
    x = 115,667,312.42/12,183.99
  6. Step 6: Final answer
    x = 9,493.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.