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Finding the Fourth Proportional to 13,433.80, 20,142.06 and 5,640.52

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Solution

The fourth proportional to 13,433.80, 20,142.06 and 5,640.52 is: 8,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.80 : 20,142.06 = 5,640.52 : x
  2. Step 2: Convert to fraction form
    13,433.80/20,142.06 = 5,640.52/x
  3. Step 3: Cross multiply
    13,433.80x = 20,142.06 × 5,640.52
  4. Step 4: Simplify right side
    13,433.80x = 113,611,692.27
  5. Step 5: Solve for x
    x = 113,611,692.27/13,433.80
  6. Step 6: Final answer
    x = 8,457.15

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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.