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Finding the Fourth Proportional to 16,217.86, 22,380.63 and 8,765.86

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Solution

The fourth proportional to 16,217.86, 22,380.63 and 8,765.86 is: 12,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.86 : 22,380.63 = 8,765.86 : x
  2. Step 2: Convert to fraction form
    16,217.86/22,380.63 = 8,765.86/x
  3. Step 3: Cross multiply
    16,217.86x = 22,380.63 × 8,765.86
  4. Step 4: Simplify right side
    16,217.86x = 196,185,357.39
  5. Step 5: Solve for x
    x = 196,185,357.39/16,217.86
  6. Step 6: Final answer
    x = 12,096.87

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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.