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Finding the Fourth Proportional to 16,273.32, 22,456.92 and 9,199.48

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Solution

The fourth proportional to 16,273.32, 22,456.92 and 9,199.48 is: 12,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.32 : 22,456.92 = 9,199.48 : x
  2. Step 2: Convert to fraction form
    16,273.32/22,456.92 = 9,199.48/x
  3. Step 3: Cross multiply
    16,273.32x = 22,456.92 × 9,199.48
  4. Step 4: Simplify right side
    16,273.32x = 206,591,986.40
  5. Step 5: Solve for x
    x = 206,591,986.40/16,273.32
  6. Step 6: Final answer
    x = 12,695.13

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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.