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Finding the Fourth Proportional to 16,037.76, 22,131.36 and 8,963.94

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Solution

The fourth proportional to 16,037.76, 22,131.36 and 8,963.94 is: 12,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037.76 : 22,131.36 = 8,963.94 : x
  2. Step 2: Convert to fraction form
    16,037.76/22,131.36 = 8,963.94/x
  3. Step 3: Cross multiply
    16,037.76x = 22,131.36 × 8,963.94
  4. Step 4: Simplify right side
    16,037.76x = 198,384,183.16
  5. Step 5: Solve for x
    x = 198,384,183.16/16,037.76
  6. Step 6: Final answer
    x = 12,369.82

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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.