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Finding the Fourth Proportional to 20,270.32, 30,404.32 and 5,478.12

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Solution

The fourth proportional to 20,270.32, 30,404.32 and 5,478.12 is: 8,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,270.32 : 30,404.32 = 5,478.12 : x
  2. Step 2: Convert to fraction form
    20,270.32/30,404.32 = 5,478.12/x
  3. Step 3: Cross multiply
    20,270.32x = 30,404.32 × 5,478.12
  4. Step 4: Simplify right side
    20,270.32x = 166,558,513.48
  5. Step 5: Solve for x
    x = 166,558,513.48/20,270.32
  6. Step 6: Final answer
    x = 8,216.87

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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.