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Finding the Fourth Proportional to 20,828.30, 31,245.41 and 7,679.64

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Solution

The fourth proportional to 20,828.30, 31,245.41 and 7,679.64 is: 11,520.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.30 : 31,245.41 = 7,679.64 : x
  2. Step 2: Convert to fraction form
    20,828.30/31,245.41 = 7,679.64/x
  3. Step 3: Cross multiply
    20,828.30x = 31,245.41 × 7,679.64
  4. Step 4: Simplify right side
    20,828.30x = 239,953,608.02
  5. Step 5: Solve for x
    x = 239,953,608.02/20,828.30
  6. Step 6: Final answer
    x = 11,520.56

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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.