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Finding the Fourth Proportional to 18,152.83, 27,218.67 and 7,046.54

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Solution

The fourth proportional to 18,152.83, 27,218.67 and 7,046.54 is: 10,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,152.83 : 27,218.67 = 7,046.54 : x
  2. Step 2: Convert to fraction form
    18,152.83/27,218.67 = 7,046.54/x
  3. Step 3: Cross multiply
    18,152.83x = 27,218.67 × 7,046.54
  4. Step 4: Simplify right side
    18,152.83x = 191,797,446.90
  5. Step 5: Solve for x
    x = 191,797,446.90/18,152.83
  6. Step 6: Final answer
    x = 10,565.71

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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.