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Finding the Fourth Proportional to 16,524.52, 24,786.84 and 4,212.52

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Solution

The fourth proportional to 16,524.52, 24,786.84 and 4,212.52 is: 6,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.52 : 24,786.84 = 4,212.52 : x
  2. Step 2: Convert to fraction form
    16,524.52/24,786.84 = 4,212.52/x
  3. Step 3: Cross multiply
    16,524.52x = 24,786.84 × 4,212.52
  4. Step 4: Simplify right side
    16,524.52x = 104,415,059.24
  5. Step 5: Solve for x
    x = 104,415,059.24/16,524.52
  6. Step 6: Final answer
    x = 6,318.80

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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.