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Finding the Fourth Proportional to 16,456.80, 24,682.80 and 8,134.68

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Solution

The fourth proportional to 16,456.80, 24,682.80 and 8,134.68 is: 12,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.80 : 24,682.80 = 8,134.68 : x
  2. Step 2: Convert to fraction form
    16,456.80/24,682.80 = 8,134.68/x
  3. Step 3: Cross multiply
    16,456.80x = 24,682.80 × 8,134.68
  4. Step 4: Simplify right side
    16,456.80x = 200,786,679.50
  5. Step 5: Solve for x
    x = 200,786,679.50/16,456.80
  6. Step 6: Final answer
    x = 12,200.83

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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.