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Finding the Fourth Proportional to 13,683.54, 20,542.32 and 13,620.36

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Solution

The fourth proportional to 13,683.54, 20,542.32 and 13,620.36 is: 20,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.54 : 20,542.32 = 13,620.36 : x
  2. Step 2: Convert to fraction form
    13,683.54/20,542.32 = 13,620.36/x
  3. Step 3: Cross multiply
    13,683.54x = 20,542.32 × 13,620.36
  4. Step 4: Simplify right side
    13,683.54x = 279,793,793.64
  5. Step 5: Solve for x
    x = 279,793,793.64/13,683.54
  6. Step 6: Final answer
    x = 20,447.47

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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.