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Finding the Fourth Proportional to 20,141.97, 30,205.74 and 7,658.67

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Solution

The fourth proportional to 20,141.97, 30,205.74 and 7,658.67 is: 11,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.97 : 30,205.74 = 7,658.67 : x
  2. Step 2: Convert to fraction form
    20,141.97/30,205.74 = 7,658.67/x
  3. Step 3: Cross multiply
    20,141.97x = 30,205.74 × 7,658.67
  4. Step 4: Simplify right side
    20,141.97x = 231,335,794.77
  5. Step 5: Solve for x
    x = 231,335,794.77/20,141.97
  6. Step 6: Final answer
    x = 11,485.26

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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.