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Finding the Fourth Proportional to 18,495.82, 27,741 and 6,806.32

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Solution

The fourth proportional to 18,495.82, 27,741 and 6,806.32 is: 10,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,495.82 : 27,741 = 6,806.32 : x
  2. Step 2: Convert to fraction form
    18,495.82/27,741 = 6,806.32/x
  3. Step 3: Cross multiply
    18,495.82x = 27,741 × 6,806.32
  4. Step 4: Simplify right side
    18,495.82x = 188,814,123.12
  5. Step 5: Solve for x
    x = 188,814,123.12/18,495.82
  6. Step 6: Final answer
    x = 10,208.48

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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.