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Finding the Fourth Proportional to 13,933.14, 20,903.35 and 7,692.09

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Solution

The fourth proportional to 13,933.14, 20,903.35 and 7,692.09 is: 11,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,933.14 : 20,903.35 = 7,692.09 : x
  2. Step 2: Convert to fraction form
    13,933.14/20,903.35 = 7,692.09/x
  3. Step 3: Cross multiply
    13,933.14x = 20,903.35 × 7,692.09
  4. Step 4: Simplify right side
    13,933.14x = 160,790,449.50
  5. Step 5: Solve for x
    x = 160,790,449.50/13,933.14
  6. Step 6: Final answer
    x = 11,540.14

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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.