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Finding the Fourth Proportional to 12,171.96, 16,811.84 and 8,650.44

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Solution

The fourth proportional to 12,171.96, 16,811.84 and 8,650.44 is: 11,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.96 : 16,811.84 = 8,650.44 : x
  2. Step 2: Convert to fraction form
    12,171.96/16,811.84 = 8,650.44/x
  3. Step 3: Cross multiply
    12,171.96x = 16,811.84 × 8,650.44
  4. Step 4: Simplify right side
    12,171.96x = 145,429,813.21
  5. Step 5: Solve for x
    x = 145,429,813.21/12,171.96
  6. Step 6: Final answer
    x = 11,947.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.