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Finding the Fourth Proportional to 13,773.30, 20,648.34 and 5,976.24

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Solution

The fourth proportional to 13,773.30, 20,648.34 and 5,976.24 is: 8,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.30 : 20,648.34 = 5,976.24 : x
  2. Step 2: Convert to fraction form
    13,773.30/20,648.34 = 5,976.24/x
  3. Step 3: Cross multiply
    13,773.30x = 20,648.34 × 5,976.24
  4. Step 4: Simplify right side
    13,773.30x = 123,399,435.44
  5. Step 5: Solve for x
    x = 123,399,435.44/13,773.30
  6. Step 6: Final answer
    x = 8,959.32

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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.