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Finding the Fourth Proportional to 13,794.15, 20,683.67 and 5,465.73

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Solution

The fourth proportional to 13,794.15, 20,683.67 and 5,465.73 is: 8,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.15 : 20,683.67 = 5,465.73 : x
  2. Step 2: Convert to fraction form
    13,794.15/20,683.67 = 5,465.73/x
  3. Step 3: Cross multiply
    13,794.15x = 20,683.67 × 5,465.73
  4. Step 4: Simplify right side
    13,794.15x = 113,051,328.30
  5. Step 5: Solve for x
    x = 113,051,328.30/13,794.15
  6. Step 6: Final answer
    x = 8,195.60

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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.