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Finding the Fourth Proportional to 16,268.01, 22,450.38 and 9,194.88

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Solution

The fourth proportional to 16,268.01, 22,450.38 and 9,194.88 is: 12,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.01 : 22,450.38 = 9,194.88 : x
  2. Step 2: Convert to fraction form
    16,268.01/22,450.38 = 9,194.88/x
  3. Step 3: Cross multiply
    16,268.01x = 22,450.38 × 9,194.88
  4. Step 4: Simplify right side
    16,268.01x = 206,428,550.05
  5. Step 5: Solve for x
    x = 206,428,550.05/16,268.01
  6. Step 6: Final answer
    x = 12,689.23

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Why These Related Problems?

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