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Finding the Fourth Proportional to 13,829.70, 20,744.55 and 8,216.40

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Solution

The fourth proportional to 13,829.70, 20,744.55 and 8,216.40 is: 12,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.70 : 20,744.55 = 8,216.40 : x
  2. Step 2: Convert to fraction form
    13,829.70/20,744.55 = 8,216.40/x
  3. Step 3: Cross multiply
    13,829.70x = 20,744.55 × 8,216.40
  4. Step 4: Simplify right side
    13,829.70x = 170,445,520.62
  5. Step 5: Solve for x
    x = 170,445,520.62/13,829.70
  6. Step 6: Final answer
    x = 12,324.60

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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.