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Finding the Fourth Proportional to 16,220.69, 22,383.70 and 9,049.31

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Solution

The fourth proportional to 16,220.69, 22,383.70 and 9,049.31 is: 12,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.69 : 22,383.70 = 9,049.31 : x
  2. Step 2: Convert to fraction form
    16,220.69/22,383.70 = 9,049.31/x
  3. Step 3: Cross multiply
    16,220.69x = 22,383.70 × 9,049.31
  4. Step 4: Simplify right side
    16,220.69x = 202,557,040.25
  5. Step 5: Solve for x
    x = 202,557,040.25/16,220.69
  6. Step 6: Final answer
    x = 12,487.57

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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.