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Finding the Fourth Proportional to 16,249.41, 24,375.02 and 5,157

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Solution

The fourth proportional to 16,249.41, 24,375.02 and 5,157 is: 7,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.41 : 24,375.02 = 5,157 : x
  2. Step 2: Convert to fraction form
    16,249.41/24,375.02 = 5,157/x
  3. Step 3: Cross multiply
    16,249.41x = 24,375.02 × 5,157
  4. Step 4: Simplify right side
    16,249.41x = 125,701,952.36
  5. Step 5: Solve for x
    x = 125,701,952.36/16,249.41
  6. Step 6: Final answer
    x = 7,735.79

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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.