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Finding the Fourth Proportional to 16,906.46, 25,372.15 and 8,021.82

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Solution

The fourth proportional to 16,906.46, 25,372.15 and 8,021.82 is: 12,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.46 : 25,372.15 = 8,021.82 : x
  2. Step 2: Convert to fraction form
    16,906.46/25,372.15 = 8,021.82/x
  3. Step 3: Cross multiply
    16,906.46x = 25,372.15 × 8,021.82
  4. Step 4: Simplify right side
    16,906.46x = 203,530,820.31
  5. Step 5: Solve for x
    x = 203,530,820.31/16,906.46
  6. Step 6: Final answer
    x = 12,038.64

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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.