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Finding the Fourth Proportional to 20,447.60, 30,671.40 and 13,449.20

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Solution

The fourth proportional to 20,447.60, 30,671.40 and 13,449.20 is: 20,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.60 : 30,671.40 = 13,449.20 : x
  2. Step 2: Convert to fraction form
    20,447.60/30,671.40 = 13,449.20/x
  3. Step 3: Cross multiply
    20,447.60x = 30,671.40 × 13,449.20
  4. Step 4: Simplify right side
    20,447.60x = 412,505,792.88
  5. Step 5: Solve for x
    x = 412,505,792.88/20,447.60
  6. Step 6: Final answer
    x = 20,173.80

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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.