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Finding the Fourth Proportional to 13,674.44, 20,512.10 and 4,314.54

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Solution

The fourth proportional to 13,674.44, 20,512.10 and 4,314.54 is: 6,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.44 : 20,512.10 = 4,314.54 : x
  2. Step 2: Convert to fraction form
    13,674.44/20,512.10 = 4,314.54/x
  3. Step 3: Cross multiply
    13,674.44x = 20,512.10 × 4,314.54
  4. Step 4: Simplify right side
    13,674.44x = 88,500,254.36
  5. Step 5: Solve for x
    x = 88,500,254.36/13,674.44
  6. Step 6: Final answer
    x = 6,471.95

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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.