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Finding the Fourth Proportional to 13,025.94, 19,544.37 and 8,099.73

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Solution

The fourth proportional to 13,025.94, 19,544.37 and 8,099.73 is: 12,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.94 : 19,544.37 = 8,099.73 : x
  2. Step 2: Convert to fraction form
    13,025.94/19,544.37 = 8,099.73/x
  3. Step 3: Cross multiply
    13,025.94x = 19,544.37 × 8,099.73
  4. Step 4: Simplify right side
    13,025.94x = 158,304,120.02
  5. Step 5: Solve for x
    x = 158,304,120.02/13,025.94
  6. Step 6: Final answer
    x = 12,152.99

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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.