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Finding the Fourth Proportional to 16,081, 24,121.26 and 5,690.20

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Solution

The fourth proportional to 16,081, 24,121.26 and 5,690.20 is: 8,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,081 : 24,121.26 = 5,690.20 : x
  2. Step 2: Convert to fraction form
    16,081/24,121.26 = 5,690.20/x
  3. Step 3: Cross multiply
    16,081x = 24,121.26 × 5,690.20
  4. Step 4: Simplify right side
    16,081x = 137,254,793.65
  5. Step 5: Solve for x
    x = 137,254,793.65/16,081
  6. Step 6: Final answer
    x = 8,535.22

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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.