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Finding the Fourth Proportional to 13,393.44, 20,120.94 and 9,453.78

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Solution

The fourth proportional to 13,393.44, 20,120.94 and 9,453.78 is: 14,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.44 : 20,120.94 = 9,453.78 : x
  2. Step 2: Convert to fraction form
    13,393.44/20,120.94 = 9,453.78/x
  3. Step 3: Cross multiply
    13,393.44x = 20,120.94 × 9,453.78
  4. Step 4: Simplify right side
    13,393.44x = 190,218,940.15
  5. Step 5: Solve for x
    x = 190,218,940.15/13,393.44
  6. Step 6: Final answer
    x = 14,202.40

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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.