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Finding the Fourth Proportional to 20,684.70, 31,042.17 and 9,006.66

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Solution

The fourth proportional to 20,684.70, 31,042.17 and 9,006.66 is: 13,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.70 : 31,042.17 = 9,006.66 : x
  2. Step 2: Convert to fraction form
    20,684.70/31,042.17 = 9,006.66/x
  3. Step 3: Cross multiply
    20,684.70x = 31,042.17 × 9,006.66
  4. Step 4: Simplify right side
    20,684.70x = 279,586,270.85
  5. Step 5: Solve for x
    x = 279,586,270.85/20,684.70
  6. Step 6: Final answer
    x = 13,516.57

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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.