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Finding the Fourth Proportional to 20,849.94, 31,274.76 and 8,361.04

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Solution

The fourth proportional to 20,849.94, 31,274.76 and 8,361.04 is: 12,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,849.94 : 31,274.76 = 8,361.04 : x
  2. Step 2: Convert to fraction form
    20,849.94/31,274.76 = 8,361.04/x
  3. Step 3: Cross multiply
    20,849.94x = 31,274.76 × 8,361.04
  4. Step 4: Simplify right side
    20,849.94x = 261,489,519.35
  5. Step 5: Solve for x
    x = 261,489,519.35/20,849.94
  6. Step 6: Final answer
    x = 12,541.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.