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Finding the Fourth Proportional to 17,568.46, 26,342.97 and 5,878.54

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Solution

The fourth proportional to 17,568.46, 26,342.97 and 5,878.54 is: 8,814.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.46 : 26,342.97 = 5,878.54 : x
  2. Step 2: Convert to fraction form
    17,568.46/26,342.97 = 5,878.54/x
  3. Step 3: Cross multiply
    17,568.46x = 26,342.97 × 5,878.54
  4. Step 4: Simplify right side
    17,568.46x = 154,858,202.86
  5. Step 5: Solve for x
    x = 154,858,202.86/17,568.46
  6. Step 6: Final answer
    x = 8,814.56

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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.