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Finding the Fourth Proportional to 18,511.10, 27,712.11 and 11,917.70

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Solution

The fourth proportional to 18,511.10, 27,712.11 and 11,917.70 is: 17,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511.10 : 27,712.11 = 11,917.70 : x
  2. Step 2: Convert to fraction form
    18,511.10/27,712.11 = 11,917.70/x
  3. Step 3: Cross multiply
    18,511.10x = 27,712.11 × 11,917.70
  4. Step 4: Simplify right side
    18,511.10x = 330,264,613.35
  5. Step 5: Solve for x
    x = 330,264,613.35/18,511.10
  6. Step 6: Final answer
    x = 17,841.44

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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.