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Finding the Fourth Proportional to 13,997, 19,314.18 and 8,028.36

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Solution

The fourth proportional to 13,997, 19,314.18 and 8,028.36 is: 11,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997 : 19,314.18 = 8,028.36 : x
  2. Step 2: Convert to fraction form
    13,997/19,314.18 = 8,028.36/x
  3. Step 3: Cross multiply
    13,997x = 19,314.18 × 8,028.36
  4. Step 4: Simplify right side
    13,997x = 155,061,190.14
  5. Step 5: Solve for x
    x = 155,061,190.14/13,997
  6. Step 6: Final answer
    x = 11,078.17

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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.