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Finding the Fourth Proportional to 20,212.80, 30,319.20 and 11,464.80

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Solution

The fourth proportional to 20,212.80, 30,319.20 and 11,464.80 is: 17,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.80 : 30,319.20 = 11,464.80 : x
  2. Step 2: Convert to fraction form
    20,212.80/30,319.20 = 11,464.80/x
  3. Step 3: Cross multiply
    20,212.80x = 30,319.20 × 11,464.80
  4. Step 4: Simplify right side
    20,212.80x = 347,603,564.16
  5. Step 5: Solve for x
    x = 347,603,564.16/20,212.80
  6. Step 6: Final answer
    x = 17,197.20

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1.5x scale

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.