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Finding the Fourth Proportional to 16,217.84, 22,380.61 and 8,765.84

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Solution

The fourth proportional to 16,217.84, 22,380.61 and 8,765.84 is: 12,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.84 : 22,380.61 = 8,765.84 : x
  2. Step 2: Convert to fraction form
    16,217.84/22,380.61 = 8,765.84/x
  3. Step 3: Cross multiply
    16,217.84x = 22,380.61 × 8,765.84
  4. Step 4: Simplify right side
    16,217.84x = 196,184,846.36
  5. Step 5: Solve for x
    x = 196,184,846.36/16,217.84
  6. Step 6: Final answer
    x = 12,096.85

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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.