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Finding the Fourth Proportional to 23,906.96, 32,991.36 and 13,297.16

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Solution

The fourth proportional to 23,906.96, 32,991.36 and 13,297.16 is: 18,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906.96 : 32,991.36 = 13,297.16 : x
  2. Step 2: Convert to fraction form
    23,906.96/32,991.36 = 13,297.16/x
  3. Step 3: Cross multiply
    23,906.96x = 32,991.36 × 13,297.16
  4. Step 4: Simplify right side
    23,906.96x = 438,691,392.54
  5. Step 5: Solve for x
    x = 438,691,392.54/23,906.96
  6. Step 6: Final answer
    x = 18,349.94

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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.