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Finding the Fourth Proportional to 20,227.52, 30,321.69 and 7,737.93

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Solution

The fourth proportional to 20,227.52, 30,321.69 and 7,737.93 is: 11,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,227.52 : 30,321.69 = 7,737.93 : x
  2. Step 2: Convert to fraction form
    20,227.52/30,321.69 = 7,737.93/x
  3. Step 3: Cross multiply
    20,227.52x = 30,321.69 × 7,737.93
  4. Step 4: Simplify right side
    20,227.52x = 234,627,129.21
  5. Step 5: Solve for x
    x = 234,627,129.21/20,227.52
  6. Step 6: Final answer
    x = 11,599.40

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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.