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Finding the Fourth Proportional to 16,196.27, 24,278.24 and 6,841.49

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Solution

The fourth proportional to 16,196.27, 24,278.24 and 6,841.49 is: 10,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.27 : 24,278.24 = 6,841.49 : x
  2. Step 2: Convert to fraction form
    16,196.27/24,278.24 = 6,841.49/x
  3. Step 3: Cross multiply
    16,196.27x = 24,278.24 × 6,841.49
  4. Step 4: Simplify right side
    16,196.27x = 166,099,231.89
  5. Step 5: Solve for x
    x = 166,099,231.89/16,196.27
  6. Step 6: Final answer
    x = 10,255.40

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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.