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Finding the Fourth Proportional to 16,441.80, 24,650.94 and 7,671.92

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Solution

The fourth proportional to 16,441.80, 24,650.94 and 7,671.92 is: 11,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.80 : 24,650.94 = 7,671.92 : x
  2. Step 2: Convert to fraction form
    16,441.80/24,650.94 = 7,671.92/x
  3. Step 3: Cross multiply
    16,441.80x = 24,650.94 × 7,671.92
  4. Step 4: Simplify right side
    16,441.80x = 189,120,039.60
  5. Step 5: Solve for x
    x = 189,120,039.60/16,441.80
  6. Step 6: Final answer
    x = 11,502.39

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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.