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Finding the Fourth Proportional to 20,777.94, 31,169.64 and 7,630.44

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Solution

The fourth proportional to 20,777.94, 31,169.64 and 7,630.44 is: 11,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777.94 : 31,169.64 = 7,630.44 : x
  2. Step 2: Convert to fraction form
    20,777.94/31,169.64 = 7,630.44/x
  3. Step 3: Cross multiply
    20,777.94x = 31,169.64 × 7,630.44
  4. Step 4: Simplify right side
    20,777.94x = 237,838,067.84
  5. Step 5: Solve for x
    x = 237,838,067.84/20,777.94
  6. Step 6: Final answer
    x = 11,446.66

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