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Finding the Fourth Proportional to 16,195.84, 24,284.16 and 5,660.80

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Solution

The fourth proportional to 16,195.84, 24,284.16 and 5,660.80 is: 8,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.84 : 24,284.16 = 5,660.80 : x
  2. Step 2: Convert to fraction form
    16,195.84/24,284.16 = 5,660.80/x
  3. Step 3: Cross multiply
    16,195.84x = 24,284.16 × 5,660.80
  4. Step 4: Simplify right side
    16,195.84x = 137,467,772.93
  5. Step 5: Solve for x
    x = 137,467,772.93/16,195.84
  6. Step 6: Final answer
    x = 8,487.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.