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Finding the Fourth Proportional to 16,490.42, 24,739.09 and 5,396.24

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Solution

The fourth proportional to 16,490.42, 24,739.09 and 5,396.24 is: 8,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.42 : 24,739.09 = 5,396.24 : x
  2. Step 2: Convert to fraction form
    16,490.42/24,739.09 = 5,396.24/x
  3. Step 3: Cross multiply
    16,490.42x = 24,739.09 × 5,396.24
  4. Step 4: Simplify right side
    16,490.42x = 133,498,067.02
  5. Step 5: Solve for x
    x = 133,498,067.02/16,490.42
  6. Step 6: Final answer
    x = 8,095.49

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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.