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Finding the Fourth Proportional to 13,793.65, 20,682.92 and 5,465.23

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Solution

The fourth proportional to 13,793.65, 20,682.92 and 5,465.23 is: 8,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.65 : 20,682.92 = 5,465.23 : x
  2. Step 2: Convert to fraction form
    13,793.65/20,682.92 = 5,465.23/x
  3. Step 3: Cross multiply
    13,793.65x = 20,682.92 × 5,465.23
  4. Step 4: Simplify right side
    13,793.65x = 113,036,887.55
  5. Step 5: Solve for x
    x = 113,036,887.55/13,793.65
  6. Step 6: Final answer
    x = 8,194.85

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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.