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Finding the Fourth Proportional to 12,967.44, 17,892.56 and 7,932.80

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Solution

The fourth proportional to 12,967.44, 17,892.56 and 7,932.80 is: 10,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.44 : 17,892.56 = 7,932.80 : x
  2. Step 2: Convert to fraction form
    12,967.44/17,892.56 = 7,932.80/x
  3. Step 3: Cross multiply
    12,967.44x = 17,892.56 × 7,932.80
  4. Step 4: Simplify right side
    12,967.44x = 141,938,099.97
  5. Step 5: Solve for x
    x = 141,938,099.97/12,967.44
  6. Step 6: Final answer
    x = 10,945.73

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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.