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Finding the Fourth Proportional to 23,972.60, 33,082.08 and 13,906.88

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Solution

The fourth proportional to 23,972.60, 33,082.08 and 13,906.88 is: 19,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,972.60 : 33,082.08 = 13,906.88 : x
  2. Step 2: Convert to fraction form
    23,972.60/33,082.08 = 13,906.88/x
  3. Step 3: Cross multiply
    23,972.60x = 33,082.08 × 13,906.88
  4. Step 4: Simplify right side
    23,972.60x = 460,068,516.71
  5. Step 5: Solve for x
    x = 460,068,516.71/23,972.60
  6. Step 6: Final answer
    x = 19,191.43

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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.