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Finding the Fourth Proportional to 18,184.75, 27,277.17 and 5,872.75

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Solution

The fourth proportional to 18,184.75, 27,277.17 and 5,872.75 is: 8,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,184.75 : 27,277.17 = 5,872.75 : x
  2. Step 2: Convert to fraction form
    18,184.75/27,277.17 = 5,872.75/x
  3. Step 3: Cross multiply
    18,184.75x = 27,277.17 × 5,872.75
  4. Step 4: Simplify right side
    18,184.75x = 160,192,000.12
  5. Step 5: Solve for x
    x = 160,192,000.12/18,184.75
  6. Step 6: Final answer
    x = 8,809.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.