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Finding the Fourth Proportional to 16,142.54, 22,274.37 and 8,971.97

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Solution

The fourth proportional to 16,142.54, 22,274.37 and 8,971.97 is: 12,380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.54 : 22,274.37 = 8,971.97 : x
  2. Step 2: Convert to fraction form
    16,142.54/22,274.37 = 8,971.97/x
  3. Step 3: Cross multiply
    16,142.54x = 22,274.37 × 8,971.97
  4. Step 4: Simplify right side
    16,142.54x = 199,844,868.04
  5. Step 5: Solve for x
    x = 199,844,868.04/16,142.54
  6. Step 6: Final answer
    x = 12,380.02

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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.