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Finding the Fourth Proportional to 13,919.19, 20,850.96 and 8,369.48

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Solution

The fourth proportional to 13,919.19, 20,850.96 and 8,369.48 is: 12,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919.19 : 20,850.96 = 8,369.48 : x
  2. Step 2: Convert to fraction form
    13,919.19/20,850.96 = 8,369.48/x
  3. Step 3: Cross multiply
    13,919.19x = 20,850.96 × 8,369.48
  4. Step 4: Simplify right side
    13,919.19x = 174,511,776.21
  5. Step 5: Solve for x
    x = 174,511,776.21/13,919.19
  6. Step 6: Final answer
    x = 12,537.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.