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Finding the Fourth Proportional to 16,142.72, 22,274.46 and 9,067.76

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Solution

The fourth proportional to 16,142.72, 22,274.46 and 9,067.76 is: 12,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.72 : 22,274.46 = 9,067.76 : x
  2. Step 2: Convert to fraction form
    16,142.72/22,274.46 = 9,067.76/x
  3. Step 3: Cross multiply
    16,142.72x = 22,274.46 × 9,067.76
  4. Step 4: Simplify right side
    16,142.72x = 201,979,457.41
  5. Step 5: Solve for x
    x = 201,979,457.41/16,142.72
  6. Step 6: Final answer
    x = 12,512.11

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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.