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Finding the Fourth Proportional to 11,521.48, 17,183 and 11,314.12

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Solution

The fourth proportional to 11,521.48, 17,183 and 11,314.12 is: 16,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.48 : 17,183 = 11,314.12 : x
  2. Step 2: Convert to fraction form
    11,521.48/17,183 = 11,314.12/x
  3. Step 3: Cross multiply
    11,521.48x = 17,183 × 11,314.12
  4. Step 4: Simplify right side
    11,521.48x = 194,410,523.96
  5. Step 5: Solve for x
    x = 194,410,523.96/11,521.48
  6. Step 6: Final answer
    x = 16,873.75

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