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Finding the Fourth Proportional to 13,704.22, 18,911.80 and 7,416.60

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Solution

The fourth proportional to 13,704.22, 18,911.80 and 7,416.60 is: 10,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.22 : 18,911.80 = 7,416.60 : x
  2. Step 2: Convert to fraction form
    13,704.22/18,911.80 = 7,416.60/x
  3. Step 3: Cross multiply
    13,704.22x = 18,911.80 × 7,416.60
  4. Step 4: Simplify right side
    13,704.22x = 140,261,255.88
  5. Step 5: Solve for x
    x = 140,261,255.88/13,704.22
  6. Step 6: Final answer
    x = 10,234.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.