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Finding the Fourth Proportional to 13,871.31, 19,142.39 and 7,902.98

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Solution

The fourth proportional to 13,871.31, 19,142.39 and 7,902.98 is: 10,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.31 : 19,142.39 = 7,902.98 : x
  2. Step 2: Convert to fraction form
    13,871.31/19,142.39 = 7,902.98/x
  3. Step 3: Cross multiply
    13,871.31x = 19,142.39 × 7,902.98
  4. Step 4: Simplify right side
    13,871.31x = 151,281,790.10
  5. Step 5: Solve for x
    x = 151,281,790.10/13,871.31
  6. Step 6: Final answer
    x = 10,906.09

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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.