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Finding the Fourth Proportional to 27,694.83, 38,218.36 and 15,757.90

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Solution

The fourth proportional to 27,694.83, 38,218.36 and 15,757.90 is: 21,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,694.83 : 38,218.36 = 15,757.90 : x
  2. Step 2: Convert to fraction form
    27,694.83/38,218.36 = 15,757.90/x
  3. Step 3: Cross multiply
    27,694.83x = 38,218.36 × 15,757.90
  4. Step 4: Simplify right side
    27,694.83x = 602,241,095.04
  5. Step 5: Solve for x
    x = 602,241,095.04/27,694.83
  6. Step 6: Final answer
    x = 21,745.61

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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.