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Finding the Fourth Proportional to 13,692.96, 20,540.70 and 6,299.46

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Solution

The fourth proportional to 13,692.96, 20,540.70 and 6,299.46 is: 9,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,692.96 : 20,540.70 = 6,299.46 : x
  2. Step 2: Convert to fraction form
    13,692.96/20,540.70 = 6,299.46/x
  3. Step 3: Cross multiply
    13,692.96x = 20,540.70 × 6,299.46
  4. Step 4: Simplify right side
    13,692.96x = 129,395,318.02
  5. Step 5: Solve for x
    x = 129,395,318.02/13,692.96
  6. Step 6: Final answer
    x = 9,449.77

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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.