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Finding the Fourth Proportional to 16,584.62, 22,847.84 and 11,540.16

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Solution

The fourth proportional to 16,584.62, 22,847.84 and 11,540.16 is: 15,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.62 : 22,847.84 = 11,540.16 : x
  2. Step 2: Convert to fraction form
    16,584.62/22,847.84 = 11,540.16/x
  3. Step 3: Cross multiply
    16,584.62x = 22,847.84 × 11,540.16
  4. Step 4: Simplify right side
    16,584.62x = 263,667,729.25
  5. Step 5: Solve for x
    x = 263,667,729.25/16,584.62
  6. Step 6: Final answer
    x = 15,898.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.