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Finding the Fourth Proportional to 12,777.14, 19,168.59 and 3,893.27

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Solution

The fourth proportional to 12,777.14, 19,168.59 and 3,893.27 is: 5,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.14 : 19,168.59 = 3,893.27 : x
  2. Step 2: Convert to fraction form
    12,777.14/19,168.59 = 3,893.27/x
  3. Step 3: Cross multiply
    12,777.14x = 19,168.59 × 3,893.27
  4. Step 4: Simplify right side
    12,777.14x = 74,628,400.55
  5. Step 5: Solve for x
    x = 74,628,400.55/12,777.14
  6. Step 6: Final answer
    x = 5,840.78

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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.