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Finding the Fourth Proportional to 13,794.60, 20,693.96 and 6,399.81

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Solution

The fourth proportional to 13,794.60, 20,693.96 and 6,399.81 is: 9,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.60 : 20,693.96 = 6,399.81 : x
  2. Step 2: Convert to fraction form
    13,794.60/20,693.96 = 6,399.81/x
  3. Step 3: Cross multiply
    13,794.60x = 20,693.96 × 6,399.81
  4. Step 4: Simplify right side
    13,794.60x = 132,437,440.15
  5. Step 5: Solve for x
    x = 132,437,440.15/13,794.60
  6. Step 6: Final answer
    x = 9,600.67

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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.