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Finding the Fourth Proportional to 18,213.75, 27,302.39 and 7,105.16

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Solution

The fourth proportional to 18,213.75, 27,302.39 and 7,105.16 is: 10,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,213.75 : 27,302.39 = 7,105.16 : x
  2. Step 2: Convert to fraction form
    18,213.75/27,302.39 = 7,105.16/x
  3. Step 3: Cross multiply
    18,213.75x = 27,302.39 × 7,105.16
  4. Step 4: Simplify right side
    18,213.75x = 193,987,677.29
  5. Step 5: Solve for x
    x = 193,987,677.29/18,213.75
  6. Step 6: Final answer
    x = 10,650.62

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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.