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Finding the Fourth Proportional to 20,893.28, 31,351.26 and 13,856

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Solution

The fourth proportional to 20,893.28, 31,351.26 and 13,856 is: 20,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,893.28 : 31,351.26 = 13,856 : x
  2. Step 2: Convert to fraction form
    20,893.28/31,351.26 = 13,856/x
  3. Step 3: Cross multiply
    20,893.28x = 31,351.26 × 13,856
  4. Step 4: Simplify right side
    20,893.28x = 434,403,058.56
  5. Step 5: Solve for x
    x = 434,403,058.56/20,893.28
  6. Step 6: Final answer
    x = 20,791.52

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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.