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Finding the Fourth Proportional to 16,115.25, 22,241.49 and 9,831.27

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Solution

The fourth proportional to 16,115.25, 22,241.49 and 9,831.27 is: 13,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115.25 : 22,241.49 = 9,831.27 : x
  2. Step 2: Convert to fraction form
    16,115.25/22,241.49 = 9,831.27/x
  3. Step 3: Cross multiply
    16,115.25x = 22,241.49 × 9,831.27
  4. Step 4: Simplify right side
    16,115.25x = 218,662,093.39
  5. Step 5: Solve for x
    x = 218,662,093.39/16,115.25
  6. Step 6: Final answer
    x = 13,568.64

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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.