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Finding the Fourth Proportional to 13,893.14, 20,833.23 and 8,051.42

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Solution

The fourth proportional to 13,893.14, 20,833.23 and 8,051.42 is: 12,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.14 : 20,833.23 = 8,051.42 : x
  2. Step 2: Convert to fraction form
    13,893.14/20,833.23 = 8,051.42/x
  3. Step 3: Cross multiply
    13,893.14x = 20,833.23 × 8,051.42
  4. Step 4: Simplify right side
    13,893.14x = 167,737,084.69
  5. Step 5: Solve for x
    x = 167,737,084.69/13,893.14
  6. Step 6: Final answer
    x = 12,073.37

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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.