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Finding the Fourth Proportional to 13,040.80, 19,546.80 and 7,201.60

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Solution

The fourth proportional to 13,040.80, 19,546.80 and 7,201.60 is: 10,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.80 : 19,546.80 = 7,201.60 : x
  2. Step 2: Convert to fraction form
    13,040.80/19,546.80 = 7,201.60/x
  3. Step 3: Cross multiply
    13,040.80x = 19,546.80 × 7,201.60
  4. Step 4: Simplify right side
    13,040.80x = 140,768,234.88
  5. Step 5: Solve for x
    x = 140,768,234.88/13,040.80
  6. Step 6: Final answer
    x = 10,794.45

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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.