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Finding the Fourth Proportional to 23,971.79, 33,082.19 and 13,361.49

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Solution

The fourth proportional to 23,971.79, 33,082.19 and 13,361.49 is: 18,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.79 : 33,082.19 = 13,361.49 : x
  2. Step 2: Convert to fraction form
    23,971.79/33,082.19 = 13,361.49/x
  3. Step 3: Cross multiply
    23,971.79x = 33,082.19 × 13,361.49
  4. Step 4: Simplify right side
    23,971.79x = 442,027,284.06
  5. Step 5: Solve for x
    x = 442,027,284.06/23,971.79
  6. Step 6: Final answer
    x = 18,439.48

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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.