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Finding the Fourth Proportional to 20,255.52, 30,383.36 and 7,772.64

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Solution

The fourth proportional to 20,255.52, 30,383.36 and 7,772.64 is: 11,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255.52 : 30,383.36 = 7,772.64 : x
  2. Step 2: Convert to fraction form
    20,255.52/30,383.36 = 7,772.64/x
  3. Step 3: Cross multiply
    20,255.52x = 30,383.36 × 7,772.64
  4. Step 4: Simplify right side
    20,255.52x = 236,158,919.27
  5. Step 5: Solve for x
    x = 236,158,919.27/20,255.52
  6. Step 6: Final answer
    x = 11,658.99

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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.