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Finding the Fourth Proportional to 20,932.65, 31,396.41 and 7,781.49

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Solution

The fourth proportional to 20,932.65, 31,396.41 and 7,781.49 is: 11,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932.65 : 31,396.41 = 7,781.49 : x
  2. Step 2: Convert to fraction form
    20,932.65/31,396.41 = 7,781.49/x
  3. Step 3: Cross multiply
    20,932.65x = 31,396.41 × 7,781.49
  4. Step 4: Simplify right side
    20,932.65x = 244,310,850.45
  5. Step 5: Solve for x
    x = 244,310,850.45/20,932.65
  6. Step 6: Final answer
    x = 11,671.28

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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.