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Finding the Fourth Proportional to 11,521.98, 17,183.75 and 11,314.62

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Solution

The fourth proportional to 11,521.98, 17,183.75 and 11,314.62 is: 16,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.98 : 17,183.75 = 11,314.62 : x
  2. Step 2: Convert to fraction form
    11,521.98/17,183.75 = 11,314.62/x
  3. Step 3: Cross multiply
    11,521.98x = 17,183.75 × 11,314.62
  4. Step 4: Simplify right side
    11,521.98x = 194,427,544.85
  5. Step 5: Solve for x
    x = 194,427,544.85/11,521.98
  6. Step 6: Final answer
    x = 16,874.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.