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Finding the Fourth Proportional to 22,405.26, 30,919.62 and 12,846

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Solution

The fourth proportional to 22,405.26, 30,919.62 and 12,846 is: 17,727.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.26 : 30,919.62 = 12,846 : x
  2. Step 2: Convert to fraction form
    22,405.26/30,919.62 = 12,846/x
  3. Step 3: Cross multiply
    22,405.26x = 30,919.62 × 12,846
  4. Step 4: Simplify right side
    22,405.26x = 397,193,438.52
  5. Step 5: Solve for x
    x = 397,193,438.52/22,405.26
  6. Step 6: Final answer
    x = 17,727.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.