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Finding the Fourth Proportional to 18,642.24, 27,963.35 and 6,796.90

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Solution

The fourth proportional to 18,642.24, 27,963.35 and 6,796.90 is: 10,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.24 : 27,963.35 = 6,796.90 : x
  2. Step 2: Convert to fraction form
    18,642.24/27,963.35 = 6,796.90/x
  3. Step 3: Cross multiply
    18,642.24x = 27,963.35 × 6,796.90
  4. Step 4: Simplify right side
    18,642.24x = 190,064,093.62
  5. Step 5: Solve for x
    x = 190,064,093.62/18,642.24
  6. Step 6: Final answer
    x = 10,195.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.