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Finding the Fourth Proportional to 13,676.36, 20,478.94 and 12,845.19

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Solution

The fourth proportional to 13,676.36, 20,478.94 and 12,845.19 is: 19,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.36 : 20,478.94 = 12,845.19 : x
  2. Step 2: Convert to fraction form
    13,676.36/20,478.94 = 12,845.19/x
  3. Step 3: Cross multiply
    13,676.36x = 20,478.94 × 12,845.19
  4. Step 4: Simplify right side
    13,676.36x = 263,055,843.19
  5. Step 5: Solve for x
    x = 263,055,843.19/13,676.36
  6. Step 6: Final answer
    x = 19,234.34

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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.