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Finding the Fourth Proportional to 16,268.39, 22,448.53 and 9,194.79

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Solution

The fourth proportional to 16,268.39, 22,448.53 and 9,194.79 is: 12,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.39 : 22,448.53 = 9,194.79 : x
  2. Step 2: Convert to fraction form
    16,268.39/22,448.53 = 9,194.79/x
  3. Step 3: Cross multiply
    16,268.39x = 22,448.53 × 9,194.79
  4. Step 4: Simplify right side
    16,268.39x = 206,409,519.16
  5. Step 5: Solve for x
    x = 206,409,519.16/16,268.39
  6. Step 6: Final answer
    x = 12,687.77

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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.