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Finding the Fourth Proportional to 11,833.56, 16,297.20 and 11,797.20

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Solution

The fourth proportional to 11,833.56, 16,297.20 and 11,797.20 is: 16,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.56 : 16,297.20 = 11,797.20 : x
  2. Step 2: Convert to fraction form
    11,833.56/16,297.20 = 11,797.20/x
  3. Step 3: Cross multiply
    11,833.56x = 16,297.20 × 11,797.20
  4. Step 4: Simplify right side
    11,833.56x = 192,261,327.84
  5. Step 5: Solve for x
    x = 192,261,327.84/11,833.56
  6. Step 6: Final answer
    x = 16,247.12

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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.