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Finding the Fourth Proportional to 20,717.67, 31,072.16 and 6,678.96

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Solution

The fourth proportional to 20,717.67, 31,072.16 and 6,678.96 is: 10,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,717.67 : 31,072.16 = 6,678.96 : x
  2. Step 2: Convert to fraction form
    20,717.67/31,072.16 = 6,678.96/x
  3. Step 3: Cross multiply
    20,717.67x = 31,072.16 × 6,678.96
  4. Step 4: Simplify right side
    20,717.67x = 207,529,680.36
  5. Step 5: Solve for x
    x = 207,529,680.36/20,717.67
  6. Step 6: Final answer
    x = 10,017.04

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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.