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Finding the Fourth Proportional to 16,460.36, 24,682.48 and 8,137.68

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Solution

The fourth proportional to 16,460.36, 24,682.48 and 8,137.68 is: 12,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.36 : 24,682.48 = 8,137.68 : x
  2. Step 2: Convert to fraction form
    16,460.36/24,682.48 = 8,137.68/x
  3. Step 3: Cross multiply
    16,460.36x = 24,682.48 × 8,137.68
  4. Step 4: Simplify right side
    16,460.36x = 200,858,123.85
  5. Step 5: Solve for x
    x = 200,858,123.85/16,460.36
  6. Step 6: Final answer
    x = 12,202.54

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1.5x scale

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.