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Finding the Fourth Proportional to 16,194.32, 22,348.32 and 9,119.36

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Solution

The fourth proportional to 16,194.32, 22,348.32 and 9,119.36 is: 12,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.32 : 22,348.32 = 9,119.36 : x
  2. Step 2: Convert to fraction form
    16,194.32/22,348.32 = 9,119.36/x
  3. Step 3: Cross multiply
    16,194.32x = 22,348.32 × 9,119.36
  4. Step 4: Simplify right side
    16,194.32x = 203,802,375.48
  5. Step 5: Solve for x
    x = 203,802,375.48/16,194.32
  6. Step 6: Final answer
    x = 12,584.81

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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.