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Finding the Fourth Proportional to 13,467.96, 20,204.64 and 5,676.84

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Solution

The fourth proportional to 13,467.96, 20,204.64 and 5,676.84 is: 8,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.96 : 20,204.64 = 5,676.84 : x
  2. Step 2: Convert to fraction form
    13,467.96/20,204.64 = 5,676.84/x
  3. Step 3: Cross multiply
    13,467.96x = 20,204.64 × 5,676.84
  4. Step 4: Simplify right side
    13,467.96x = 114,698,508.54
  5. Step 5: Solve for x
    x = 114,698,508.54/13,467.96
  6. Step 6: Final answer
    x = 8,516.40

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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.