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Finding the Fourth Proportional to 18,162, 27,244.35 and 5,014.24

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Solution

The fourth proportional to 18,162, 27,244.35 and 5,014.24 is: 7,521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162 : 27,244.35 = 5,014.24 : x
  2. Step 2: Convert to fraction form
    18,162/27,244.35 = 5,014.24/x
  3. Step 3: Cross multiply
    18,162x = 27,244.35 × 5,014.24
  4. Step 4: Simplify right side
    18,162x = 136,609,709.54
  5. Step 5: Solve for x
    x = 136,609,709.54/18,162
  6. Step 6: Final answer
    x = 7,521.73

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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.