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Finding the Fourth Proportional to 27,121.92, 37,434.24 and 16,512

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Solution

The fourth proportional to 27,121.92, 37,434.24 and 16,512 is: 22,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,121.92 : 37,434.24 = 16,512 : x
  2. Step 2: Convert to fraction form
    27,121.92/37,434.24 = 16,512/x
  3. Step 3: Cross multiply
    27,121.92x = 37,434.24 × 16,512
  4. Step 4: Simplify right side
    27,121.92x = 618,114,170.88
  5. Step 5: Solve for x
    x = 618,114,170.88/27,121.92
  6. Step 6: Final answer
    x = 22,790.21

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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.