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Finding the Fourth Proportional to 19,731.25, 27,229.14 and 11,347.75

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Solution

The fourth proportional to 19,731.25, 27,229.14 and 11,347.75 is: 15,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.25 : 27,229.14 = 11,347.75 : x
  2. Step 2: Convert to fraction form
    19,731.25/27,229.14 = 11,347.75/x
  3. Step 3: Cross multiply
    19,731.25x = 27,229.14 × 11,347.75
  4. Step 4: Simplify right side
    19,731.25x = 308,989,473.44
  5. Step 5: Solve for x
    x = 308,989,473.44/19,731.25
  6. Step 6: Final answer
    x = 15,659.90

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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.