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Finding the Fourth Proportional to 18,511, 27,769.39 and 6,028.08

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Solution

The fourth proportional to 18,511, 27,769.39 and 6,028.08 is: 9,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511 : 27,769.39 = 6,028.08 : x
  2. Step 2: Convert to fraction form
    18,511/27,769.39 = 6,028.08/x
  3. Step 3: Cross multiply
    18,511x = 27,769.39 × 6,028.08
  4. Step 4: Simplify right side
    18,511x = 167,396,104.47
  5. Step 5: Solve for x
    x = 167,396,104.47/18,511
  6. Step 6: Final answer
    x = 9,043.06

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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.