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Finding the Fourth Proportional to 16,083.44, 22,194.24 and 9,794.60

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Solution

The fourth proportional to 16,083.44, 22,194.24 and 9,794.60 is: 13,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.44 : 22,194.24 = 9,794.60 : x
  2. Step 2: Convert to fraction form
    16,083.44/22,194.24 = 9,794.60/x
  3. Step 3: Cross multiply
    16,083.44x = 22,194.24 × 9,794.60
  4. Step 4: Simplify right side
    16,083.44x = 217,383,703.10
  5. Step 5: Solve for x
    x = 217,383,703.10/16,083.44
  6. Step 6: Final answer
    x = 13,516.00

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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.