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Finding the Fourth Proportional to 20,714.56, 31,072.20 and 6,863.92

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Solution

The fourth proportional to 20,714.56, 31,072.20 and 6,863.92 is: 10,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.56 : 31,072.20 = 6,863.92 : x
  2. Step 2: Convert to fraction form
    20,714.56/31,072.20 = 6,863.92/x
  3. Step 3: Cross multiply
    20,714.56x = 31,072.20 × 6,863.92
  4. Step 4: Simplify right side
    20,714.56x = 213,277,095.02
  5. Step 5: Solve for x
    x = 213,277,095.02/20,714.56
  6. Step 6: Final answer
    x = 10,296.00

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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.