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Finding the Fourth Proportional to 13,640.42, 20,468.30 and 5,321.01

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Solution

The fourth proportional to 13,640.42, 20,468.30 and 5,321.01 is: 7,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.42 : 20,468.30 = 5,321.01 : x
  2. Step 2: Convert to fraction form
    13,640.42/20,468.30 = 5,321.01/x
  3. Step 3: Cross multiply
    13,640.42x = 20,468.30 × 5,321.01
  4. Step 4: Simplify right side
    13,640.42x = 108,912,002.38
  5. Step 5: Solve for x
    x = 108,912,002.38/13,640.42
  6. Step 6: Final answer
    x = 7,984.51

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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.