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Finding the Fourth Proportional to 16,121.14, 22,245.24 and 9,406

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Solution

The fourth proportional to 16,121.14, 22,245.24 and 9,406 is: 12,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.14 : 22,245.24 = 9,406 : x
  2. Step 2: Convert to fraction form
    16,121.14/22,245.24 = 9,406/x
  3. Step 3: Cross multiply
    16,121.14x = 22,245.24 × 9,406
  4. Step 4: Simplify right side
    16,121.14x = 209,238,727.44
  5. Step 5: Solve for x
    x = 209,238,727.44/16,121.14
  6. Step 6: Final answer
    x = 12,979.15

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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.