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Finding the Fourth Proportional to 13,478.27, 20,223.68 and 5,155.54

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Solution

The fourth proportional to 13,478.27, 20,223.68 and 5,155.54 is: 7,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.27 : 20,223.68 = 5,155.54 : x
  2. Step 2: Convert to fraction form
    13,478.27/20,223.68 = 5,155.54/x
  3. Step 3: Cross multiply
    13,478.27x = 20,223.68 × 5,155.54
  4. Step 4: Simplify right side
    13,478.27x = 104,263,914.85
  5. Step 5: Solve for x
    x = 104,263,914.85/13,478.27
  6. Step 6: Final answer
    x = 7,735.71

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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.