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Finding the Fourth Proportional to 13,676.97, 20,520.45 and 5,781.54

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Solution

The fourth proportional to 13,676.97, 20,520.45 and 5,781.54 is: 8,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.97 : 20,520.45 = 5,781.54 : x
  2. Step 2: Convert to fraction form
    13,676.97/20,520.45 = 5,781.54/x
  3. Step 3: Cross multiply
    13,676.97x = 20,520.45 × 5,781.54
  4. Step 4: Simplify right side
    13,676.97x = 118,639,802.49
  5. Step 5: Solve for x
    x = 118,639,802.49/13,676.97
  6. Step 6: Final answer
    x = 8,674.42

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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.