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Finding the Fourth Proportional to 18,046.13, 27,062.45 and 6,196.54

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Solution

The fourth proportional to 18,046.13, 27,062.45 and 6,196.54 is: 9,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,046.13 : 27,062.45 = 6,196.54 : x
  2. Step 2: Convert to fraction form
    18,046.13/27,062.45 = 6,196.54/x
  3. Step 3: Cross multiply
    18,046.13x = 27,062.45 × 6,196.54
  4. Step 4: Simplify right side
    18,046.13x = 167,693,553.92
  5. Step 5: Solve for x
    x = 167,693,553.92/18,046.13
  6. Step 6: Final answer
    x = 9,292.49

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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.