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Finding the Fourth Proportional to 13,475.62, 20,222.07 and 6,546.34

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Solution

The fourth proportional to 13,475.62, 20,222.07 and 6,546.34 is: 9,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.62 : 20,222.07 = 6,546.34 : x
  2. Step 2: Convert to fraction form
    13,475.62/20,222.07 = 6,546.34/x
  3. Step 3: Cross multiply
    13,475.62x = 20,222.07 × 6,546.34
  4. Step 4: Simplify right side
    13,475.62x = 132,380,545.72
  5. Step 5: Solve for x
    x = 132,380,545.72/13,475.62
  6. Step 6: Final answer
    x = 9,823.71

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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.