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Finding the Fourth Proportional to 18,601.92, 27,892.38 and 6,118.57

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Solution

The fourth proportional to 18,601.92, 27,892.38 and 6,118.57 is: 9,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,601.92 : 27,892.38 = 6,118.57 : x
  2. Step 2: Convert to fraction form
    18,601.92/27,892.38 = 6,118.57/x
  3. Step 3: Cross multiply
    18,601.92x = 27,892.38 × 6,118.57
  4. Step 4: Simplify right side
    18,601.92x = 170,661,479.50
  5. Step 5: Solve for x
    x = 170,661,479.50/18,601.92
  6. Step 6: Final answer
    x = 9,174.40

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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.