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Finding the Fourth Proportional to 16,267.14, 22,449.08 and 9,194.01

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Solution

The fourth proportional to 16,267.14, 22,449.08 and 9,194.01 is: 12,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.14 : 22,449.08 = 9,194.01 : x
  2. Step 2: Convert to fraction form
    16,267.14/22,449.08 = 9,194.01/x
  3. Step 3: Cross multiply
    16,267.14x = 22,449.08 × 9,194.01
  4. Step 4: Simplify right side
    16,267.14x = 206,397,020.04
  5. Step 5: Solve for x
    x = 206,397,020.04/16,267.14
  6. Step 6: Final answer
    x = 12,687.97

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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.