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Finding the Fourth Proportional to 13,644.68, 20,469.32 and 4,282.88

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Solution

The fourth proportional to 13,644.68, 20,469.32 and 4,282.88 is: 6,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.68 : 20,469.32 = 4,282.88 : x
  2. Step 2: Convert to fraction form
    13,644.68/20,469.32 = 4,282.88/x
  3. Step 3: Cross multiply
    13,644.68x = 20,469.32 × 4,282.88
  4. Step 4: Simplify right side
    13,644.68x = 87,667,641.24
  5. Step 5: Solve for x
    x = 87,667,641.24/13,644.68
  6. Step 6: Final answer
    x = 6,425.04

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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.