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Finding the Fourth Proportional to 16,813.76, 25,201.20 and 11,876

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Solution

The fourth proportional to 16,813.76, 25,201.20 and 11,876 is: 17,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.76 : 25,201.20 = 11,876 : x
  2. Step 2: Convert to fraction form
    16,813.76/25,201.20 = 11,876/x
  3. Step 3: Cross multiply
    16,813.76x = 25,201.20 × 11,876
  4. Step 4: Simplify right side
    16,813.76x = 299,289,451.20
  5. Step 5: Solve for x
    x = 299,289,451.20/16,813.76
  6. Step 6: Final answer
    x = 17,800.27

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Why These Related Problems?

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