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Finding the Fourth Proportional to 20,197.20, 30,328.20 and 13,652.40

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Solution

The fourth proportional to 20,197.20, 30,328.20 and 13,652.40 is: 20,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.20 : 30,328.20 = 13,652.40 : x
  2. Step 2: Convert to fraction form
    20,197.20/30,328.20 = 13,652.40/x
  3. Step 3: Cross multiply
    20,197.20x = 30,328.20 × 13,652.40
  4. Step 4: Simplify right side
    20,197.20x = 414,052,717.68
  5. Step 5: Solve for x
    x = 414,052,717.68/20,197.20
  6. Step 6: Final answer
    x = 20,500.50

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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.