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Finding the Fourth Proportional to 16,169.86, 22,314.32 and 9,096.33

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Solution

The fourth proportional to 16,169.86, 22,314.32 and 9,096.33 is: 12,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.86 : 22,314.32 = 9,096.33 : x
  2. Step 2: Convert to fraction form
    16,169.86/22,314.32 = 9,096.33/x
  3. Step 3: Cross multiply
    16,169.86x = 22,314.32 × 9,096.33
  4. Step 4: Simplify right side
    16,169.86x = 202,978,418.45
  5. Step 5: Solve for x
    x = 202,978,418.45/16,169.86
  6. Step 6: Final answer
    x = 12,552.89

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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.