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Finding the Fourth Proportional to 20,731.46, 31,101.81 and 8,252.03

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Solution

The fourth proportional to 20,731.46, 31,101.81 and 8,252.03 is: 12,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731.46 : 31,101.81 = 8,252.03 : x
  2. Step 2: Convert to fraction form
    20,731.46/31,101.81 = 8,252.03/x
  3. Step 3: Cross multiply
    20,731.46x = 31,101.81 × 8,252.03
  4. Step 4: Simplify right side
    20,731.46x = 256,653,146.93
  5. Step 5: Solve for x
    x = 256,653,146.93/20,731.46
  6. Step 6: Final answer
    x = 12,379.89

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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.