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Finding the Fourth Proportional to 27,967.97, 38,587.10 and 16,028.97

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Solution

The fourth proportional to 27,967.97, 38,587.10 and 16,028.97 is: 22,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.97 : 38,587.10 = 16,028.97 : x
  2. Step 2: Convert to fraction form
    27,967.97/38,587.10 = 16,028.97/x
  3. Step 3: Cross multiply
    27,967.97x = 38,587.10 × 16,028.97
  4. Step 4: Simplify right side
    27,967.97x = 618,511,388.14
  5. Step 5: Solve for x
    x = 618,511,388.14/27,967.97
  6. Step 6: Final answer
    x = 22,114.99

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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.