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Finding the Fourth Proportional to 20,141.26, 30,205.08 and 7,658.32

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Solution

The fourth proportional to 20,141.26, 30,205.08 and 7,658.32 is: 11,484.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.26 : 30,205.08 = 7,658.32 : x
  2. Step 2: Convert to fraction form
    20,141.26/30,205.08 = 7,658.32/x
  3. Step 3: Cross multiply
    20,141.26x = 30,205.08 × 7,658.32
  4. Step 4: Simplify right side
    20,141.26x = 231,320,168.27
  5. Step 5: Solve for x
    x = 231,320,168.27/20,141.26
  6. Step 6: Final answer
    x = 11,484.89

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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.