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Finding the Fourth Proportional to 16,217.12, 22,379.66 and 8,765.12

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Solution

The fourth proportional to 16,217.12, 22,379.66 and 8,765.12 is: 12,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.12 : 22,379.66 = 8,765.12 : x
  2. Step 2: Convert to fraction form
    16,217.12/22,379.66 = 8,765.12/x
  3. Step 3: Cross multiply
    16,217.12x = 22,379.66 × 8,765.12
  4. Step 4: Simplify right side
    16,217.12x = 196,160,405.46
  5. Step 5: Solve for x
    x = 196,160,405.46/16,217.12
  6. Step 6: Final answer
    x = 12,095.88

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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.