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Finding the Fourth Proportional to 20,447.60, 30,655.20 and 11,213.60

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Solution

The fourth proportional to 20,447.60, 30,655.20 and 11,213.60 is: 16,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,447.60 : 30,655.20 = 11,213.60 : x
  2. Step 2: Convert to fraction form
    20,447.60/30,655.20 = 11,213.60/x
  3. Step 3: Cross multiply
    20,447.60x = 30,655.20 × 11,213.60
  4. Step 4: Simplify right side
    20,447.60x = 343,755,150.72
  5. Step 5: Solve for x
    x = 343,755,150.72/20,447.60
  6. Step 6: Final answer
    x = 16,811.52

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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.