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Finding the Fourth Proportional to 27,736.33, 38,273.14 and 16,406.23

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Solution

The fourth proportional to 27,736.33, 38,273.14 and 16,406.23 is: 22,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,736.33 : 38,273.14 = 16,406.23 : x
  2. Step 2: Convert to fraction form
    27,736.33/38,273.14 = 16,406.23/x
  3. Step 3: Cross multiply
    27,736.33x = 38,273.14 × 16,406.23
  4. Step 4: Simplify right side
    27,736.33x = 627,917,937.66
  5. Step 5: Solve for x
    x = 627,917,937.66/27,736.33
  6. Step 6: Final answer
    x = 22,638.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.