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Finding the Fourth Proportional to 20,384.62, 30,573.06 and 6,344.82

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Solution

The fourth proportional to 20,384.62, 30,573.06 and 6,344.82 is: 9,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.62 : 30,573.06 = 6,344.82 : x
  2. Step 2: Convert to fraction form
    20,384.62/30,573.06 = 6,344.82/x
  3. Step 3: Cross multiply
    20,384.62x = 30,573.06 × 6,344.82
  4. Step 4: Simplify right side
    20,384.62x = 193,980,470.25
  5. Step 5: Solve for x
    x = 193,980,470.25/20,384.62
  6. Step 6: Final answer
    x = 9,516.02

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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.