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Finding the Fourth Proportional to 16,147.89, 22,286.21 and 9,074.33

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Solution

The fourth proportional to 16,147.89, 22,286.21 and 9,074.33 is: 12,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.89 : 22,286.21 = 9,074.33 : x
  2. Step 2: Convert to fraction form
    16,147.89/22,286.21 = 9,074.33/x
  3. Step 3: Cross multiply
    16,147.89x = 22,286.21 × 9,074.33
  4. Step 4: Simplify right side
    16,147.89x = 202,232,350.76
  5. Step 5: Solve for x
    x = 202,232,350.76/16,147.89
  6. Step 6: Final answer
    x = 12,523.76

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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.