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Finding the Fourth Proportional to 27,731.75, 38,273.81 and 15,796.22

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Solution

The fourth proportional to 27,731.75, 38,273.81 and 15,796.22 is: 21,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731.75 : 38,273.81 = 15,796.22 : x
  2. Step 2: Convert to fraction form
    27,731.75/38,273.81 = 15,796.22/x
  3. Step 3: Cross multiply
    27,731.75x = 38,273.81 × 15,796.22
  4. Step 4: Simplify right side
    27,731.75x = 604,581,252.65
  5. Step 5: Solve for x
    x = 604,581,252.65/27,731.75
  6. Step 6: Final answer
    x = 21,801.05

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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.