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Finding the Fourth Proportional to 20,212.75, 27,893.64 and 13,151.17

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Solution

The fourth proportional to 20,212.75, 27,893.64 and 13,151.17 is: 18,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.75 : 27,893.64 = 13,151.17 : x
  2. Step 2: Convert to fraction form
    20,212.75/27,893.64 = 13,151.17/x
  3. Step 3: Cross multiply
    20,212.75x = 27,893.64 × 13,151.17
  4. Step 4: Simplify right side
    20,212.75x = 366,834,001.56
  5. Step 5: Solve for x
    x = 366,834,001.56/20,212.75
  6. Step 6: Final answer
    x = 18,148.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.