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Finding the Fourth Proportional to 20,716.65, 31,052.82 and 8,219.37

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Solution

The fourth proportional to 20,716.65, 31,052.82 and 8,219.37 is: 12,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.65 : 31,052.82 = 8,219.37 : x
  2. Step 2: Convert to fraction form
    20,716.65/31,052.82 = 8,219.37/x
  3. Step 3: Cross multiply
    20,716.65x = 31,052.82 × 8,219.37
  4. Step 4: Simplify right side
    20,716.65x = 255,234,617.12
  5. Step 5: Solve for x
    x = 255,234,617.12/20,716.65
  6. Step 6: Final answer
    x = 12,320.26

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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.