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Finding the Fourth Proportional to 13,642.20, 20,469.51 and 6,618.42

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Solution

The fourth proportional to 13,642.20, 20,469.51 and 6,618.42 is: 9,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.20 : 20,469.51 = 6,618.42 : x
  2. Step 2: Convert to fraction form
    13,642.20/20,469.51 = 6,618.42/x
  3. Step 3: Cross multiply
    13,642.20x = 20,469.51 × 6,618.42
  4. Step 4: Simplify right side
    13,642.20x = 135,475,814.37
  5. Step 5: Solve for x
    x = 135,475,814.37/13,642.20
  6. Step 6: Final answer
    x = 9,930.64

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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.