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Finding the Fourth Proportional to 20,796.71, 31,198.30 and 12,474.77

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Solution

The fourth proportional to 20,796.71, 31,198.30 and 12,474.77 is: 18,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796.71 : 31,198.30 = 12,474.77 : x
  2. Step 2: Convert to fraction form
    20,796.71/31,198.30 = 12,474.77/x
  3. Step 3: Cross multiply
    20,796.71x = 31,198.30 × 12,474.77
  4. Step 4: Simplify right side
    20,796.71x = 389,191,429.71
  5. Step 5: Solve for x
    x = 389,191,429.71/20,796.71
  6. Step 6: Final answer
    x = 18,714.09

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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.