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Finding the Fourth Proportional to 12,982.31, 17,911.63 and 7,941.27

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Solution

The fourth proportional to 12,982.31, 17,911.63 and 7,941.27 is: 10,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982.31 : 17,911.63 = 7,941.27 : x
  2. Step 2: Convert to fraction form
    12,982.31/17,911.63 = 7,941.27/x
  3. Step 3: Cross multiply
    12,982.31x = 17,911.63 × 7,941.27
  4. Step 4: Simplify right side
    12,982.31x = 142,241,167.07
  5. Step 5: Solve for x
    x = 142,241,167.07/12,982.31
  6. Step 6: Final answer
    x = 10,956.54

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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.