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Finding the Fourth Proportional to 19,431.54, 29,144.22 and 6,949.24

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Solution

The fourth proportional to 19,431.54, 29,144.22 and 6,949.24 is: 10,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431.54 : 29,144.22 = 6,949.24 : x
  2. Step 2: Convert to fraction form
    19,431.54/29,144.22 = 6,949.24/x
  3. Step 3: Cross multiply
    19,431.54x = 29,144.22 × 6,949.24
  4. Step 4: Simplify right side
    19,431.54x = 202,530,080.47
  5. Step 5: Solve for x
    x = 202,530,080.47/19,431.54
  6. Step 6: Final answer
    x = 10,422.75

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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.