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Finding the Fourth Proportional to 27,731.88, 38,269.14 and 15,796.92

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Solution

The fourth proportional to 27,731.88, 38,269.14 and 15,796.92 is: 21,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731.88 : 38,269.14 = 15,796.92 : x
  2. Step 2: Convert to fraction form
    27,731.88/38,269.14 = 15,796.92/x
  3. Step 3: Cross multiply
    27,731.88x = 38,269.14 × 15,796.92
  4. Step 4: Simplify right side
    27,731.88x = 604,534,543.05
  5. Step 5: Solve for x
    x = 604,534,543.05/27,731.88
  6. Step 6: Final answer
    x = 21,799.26

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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.