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Finding the Fourth Proportional to 16,076.80, 22,185.47 and 8,906.42

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Solution

The fourth proportional to 16,076.80, 22,185.47 and 8,906.42 is: 12,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.80 : 22,185.47 = 8,906.42 : x
  2. Step 2: Convert to fraction form
    16,076.80/22,185.47 = 8,906.42/x
  3. Step 3: Cross multiply
    16,076.80x = 22,185.47 × 8,906.42
  4. Step 4: Simplify right side
    16,076.80x = 197,593,113.72
  5. Step 5: Solve for x
    x = 197,593,113.72/16,076.80
  6. Step 6: Final answer
    x = 12,290.57

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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.