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Finding the Fourth Proportional to 16,137, 24,183.63 and 7,800.44

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Solution

The fourth proportional to 16,137, 24,183.63 and 7,800.44 is: 11,690.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137 : 24,183.63 = 7,800.44 : x
  2. Step 2: Convert to fraction form
    16,137/24,183.63 = 7,800.44/x
  3. Step 3: Cross multiply
    16,137x = 24,183.63 × 7,800.44
  4. Step 4: Simplify right side
    16,137x = 188,642,833.88
  5. Step 5: Solve for x
    x = 188,642,833.88/16,137
  6. Step 6: Final answer
    x = 11,690.08

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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.