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Finding the Fourth Proportional to 18,496.90, 27,748.06 and 6,809.14

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Solution

The fourth proportional to 18,496.90, 27,748.06 and 6,809.14 is: 10,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.90 : 27,748.06 = 6,809.14 : x
  2. Step 2: Convert to fraction form
    18,496.90/27,748.06 = 6,809.14/x
  3. Step 3: Cross multiply
    18,496.90x = 27,748.06 × 6,809.14
  4. Step 4: Simplify right side
    18,496.90x = 188,940,425.27
  5. Step 5: Solve for x
    x = 188,940,425.27/18,496.90
  6. Step 6: Final answer
    x = 10,214.71

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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.