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Finding the Fourth Proportional to 18,162.74, 27,244.10 and 7,767.20

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Solution

The fourth proportional to 18,162.74, 27,244.10 and 7,767.20 is: 11,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162.74 : 27,244.10 = 7,767.20 : x
  2. Step 2: Convert to fraction form
    18,162.74/27,244.10 = 7,767.20/x
  3. Step 3: Cross multiply
    18,162.74x = 27,244.10 × 7,767.20
  4. Step 4: Simplify right side
    18,162.74x = 211,610,198.46
  5. Step 5: Solve for x
    x = 211,610,198.46/18,162.74
  6. Step 6: Final answer
    x = 11,650.79

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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.