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Finding the Fourth Proportional to 16,138.40, 24,175.20 and 11,213.60

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Solution

The fourth proportional to 16,138.40, 24,175.20 and 11,213.60 is: 16,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.40 : 24,175.20 = 11,213.60 : x
  2. Step 2: Convert to fraction form
    16,138.40/24,175.20 = 11,213.60/x
  3. Step 3: Cross multiply
    16,138.40x = 24,175.20 × 11,213.60
  4. Step 4: Simplify right side
    16,138.40x = 271,091,022.72
  5. Step 5: Solve for x
    x = 271,091,022.72/16,138.40
  6. Step 6: Final answer
    x = 16,797.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.