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Finding the Fourth Proportional to 17,288.92, 25,938.73 and 8,286.68

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Solution

The fourth proportional to 17,288.92, 25,938.73 and 8,286.68 is: 12,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288.92 : 25,938.73 = 8,286.68 : x
  2. Step 2: Convert to fraction form
    17,288.92/25,938.73 = 8,286.68/x
  3. Step 3: Cross multiply
    17,288.92x = 25,938.73 × 8,286.68
  4. Step 4: Simplify right side
    17,288.92x = 214,945,957.37
  5. Step 5: Solve for x
    x = 214,945,957.37/17,288.92
  6. Step 6: Final answer
    x = 12,432.59

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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.