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Finding the Fourth Proportional to 16,268.13, 22,450.41 and 9,194.58

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Solution

The fourth proportional to 16,268.13, 22,450.41 and 9,194.58 is: 12,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.13 : 22,450.41 = 9,194.58 : x
  2. Step 2: Convert to fraction form
    16,268.13/22,450.41 = 9,194.58/x
  3. Step 3: Cross multiply
    16,268.13x = 22,450.41 × 9,194.58
  4. Step 4: Simplify right side
    16,268.13x = 206,422,090.78
  5. Step 5: Solve for x
    x = 206,422,090.78/16,268.13
  6. Step 6: Final answer
    x = 12,688.74

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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.