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Finding the Fourth Proportional to 13,676.96, 20,518.90 and 3,816.23

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Solution

The fourth proportional to 13,676.96, 20,518.90 and 3,816.23 is: 5,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.96 : 20,518.90 = 3,816.23 : x
  2. Step 2: Convert to fraction form
    13,676.96/20,518.90 = 3,816.23/x
  3. Step 3: Cross multiply
    13,676.96x = 20,518.90 × 3,816.23
  4. Step 4: Simplify right side
    13,676.96x = 78,304,841.75
  5. Step 5: Solve for x
    x = 78,304,841.75/13,676.96
  6. Step 6: Final answer
    x = 5,725.31

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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.