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Finding the Fourth Proportional to 11,991.42, 17,928 and 10,162.98

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Solution

The fourth proportional to 11,991.42, 17,928 and 10,162.98 is: 15,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.42 : 17,928 = 10,162.98 : x
  2. Step 2: Convert to fraction form
    11,991.42/17,928 = 10,162.98/x
  3. Step 3: Cross multiply
    11,991.42x = 17,928 × 10,162.98
  4. Step 4: Simplify right side
    11,991.42x = 182,201,905.44
  5. Step 5: Solve for x
    x = 182,201,905.44/11,991.42
  6. Step 6: Final answer
    x = 15,194.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.