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Finding the Fourth Proportional to 16,067.94, 24,082.47 and 6,814.50

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Solution

The fourth proportional to 16,067.94, 24,082.47 and 6,814.50 is: 10,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.94 : 24,082.47 = 6,814.50 : x
  2. Step 2: Convert to fraction form
    16,067.94/24,082.47 = 6,814.50/x
  3. Step 3: Cross multiply
    16,067.94x = 24,082.47 × 6,814.50
  4. Step 4: Simplify right side
    16,067.94x = 164,109,991.82
  5. Step 5: Solve for x
    x = 164,109,991.82/16,067.94
  6. Step 6: Final answer
    x = 10,213.51

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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.