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Finding the Fourth Proportional to 20,893.27, 31,310.43 and 11,537.50

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Solution

The fourth proportional to 20,893.27, 31,310.43 and 11,537.50 is: 17,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.27 : 31,310.43 = 11,537.50 : x
  2. Step 2: Convert to fraction form
    20,893.27/31,310.43 = 11,537.50/x
  3. Step 3: Cross multiply
    20,893.27x = 31,310.43 × 11,537.50
  4. Step 4: Simplify right side
    20,893.27x = 361,244,036.69
  5. Step 5: Solve for x
    x = 361,244,036.69/20,893.27
  6. Step 6: Final answer
    x = 17,289.97

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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.