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Finding the Fourth Proportional to 16,149.44, 22,286.48 and 9,075.86

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Solution

The fourth proportional to 16,149.44, 22,286.48 and 9,075.86 is: 12,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.44 : 22,286.48 = 9,075.86 : x
  2. Step 2: Convert to fraction form
    16,149.44/22,286.48 = 9,075.86/x
  3. Step 3: Cross multiply
    16,149.44x = 22,286.48 × 9,075.86
  4. Step 4: Simplify right side
    16,149.44x = 202,268,815.56
  5. Step 5: Solve for x
    x = 202,268,815.56/16,149.44
  6. Step 6: Final answer
    x = 12,524.82

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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.