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Finding the Fourth Proportional to 16,073.14, 22,168.46 and 12,286.80

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Solution

The fourth proportional to 16,073.14, 22,168.46 and 12,286.80 is: 16,946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.14 : 22,168.46 = 12,286.80 : x
  2. Step 2: Convert to fraction form
    16,073.14/22,168.46 = 12,286.80/x
  3. Step 3: Cross multiply
    16,073.14x = 22,168.46 × 12,286.80
  4. Step 4: Simplify right side
    16,073.14x = 272,379,434.33
  5. Step 5: Solve for x
    x = 272,379,434.33/16,073.14
  6. Step 6: Final answer
    x = 16,946.25

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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.