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Finding the Fourth Proportional to 16,209.75, 22,369.46 and 8,757.75

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Solution

The fourth proportional to 16,209.75, 22,369.46 and 8,757.75 is: 12,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.75 : 22,369.46 = 8,757.75 : x
  2. Step 2: Convert to fraction form
    16,209.75/22,369.46 = 8,757.75/x
  3. Step 3: Cross multiply
    16,209.75x = 22,369.46 × 8,757.75
  4. Step 4: Simplify right side
    16,209.75x = 195,906,138.32
  5. Step 5: Solve for x
    x = 195,906,138.32/16,209.75
  6. Step 6: Final answer
    x = 12,085.70

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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.