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Finding the Fourth Proportional to 13,847.40, 20,764.38 and 6,450.12

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Solution

The fourth proportional to 13,847.40, 20,764.38 and 6,450.12 is: 9,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.40 : 20,764.38 = 6,450.12 : x
  2. Step 2: Convert to fraction form
    13,847.40/20,764.38 = 6,450.12/x
  3. Step 3: Cross multiply
    13,847.40x = 20,764.38 × 6,450.12
  4. Step 4: Simplify right side
    13,847.40x = 133,932,742.73
  5. Step 5: Solve for x
    x = 133,932,742.73/13,847.40
  6. Step 6: Final answer
    x = 9,672.05

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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.