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Finding the Fourth Proportional to 13,974.82, 19,283.62 and 8,006.14

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Solution

The fourth proportional to 13,974.82, 19,283.62 and 8,006.14 is: 11,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.82 : 19,283.62 = 8,006.14 : x
  2. Step 2: Convert to fraction form
    13,974.82/19,283.62 = 8,006.14/x
  3. Step 3: Cross multiply
    13,974.82x = 19,283.62 × 8,006.14
  4. Step 4: Simplify right side
    13,974.82x = 154,387,361.43
  5. Step 5: Solve for x
    x = 154,387,361.43/13,974.82
  6. Step 6: Final answer
    x = 11,047.54

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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.