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Finding the Fourth Proportional to 20,388.12, 30,578.91 and 5,593.60

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Solution

The fourth proportional to 20,388.12, 30,578.91 and 5,593.60 is: 8,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,388.12 : 30,578.91 = 5,593.60 : x
  2. Step 2: Convert to fraction form
    20,388.12/30,578.91 = 5,593.60/x
  3. Step 3: Cross multiply
    20,388.12x = 30,578.91 × 5,593.60
  4. Step 4: Simplify right side
    20,388.12x = 171,046,190.98
  5. Step 5: Solve for x
    x = 171,046,190.98/20,388.12
  6. Step 6: Final answer
    x = 8,389.50

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Why These Related Problems?

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