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Finding the Fourth Proportional to 29,912.80, 41,274.84 and 17,335.12

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Solution

The fourth proportional to 29,912.80, 41,274.84 and 17,335.12 is: 23,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,912.80 : 41,274.84 = 17,335.12 : x
  2. Step 2: Convert to fraction form
    29,912.80/41,274.84 = 17,335.12/x
  3. Step 3: Cross multiply
    29,912.80x = 41,274.84 × 17,335.12
  4. Step 4: Simplify right side
    29,912.80x = 715,504,304.38
  5. Step 5: Solve for x
    x = 715,504,304.38/29,912.80
  6. Step 6: Final answer
    x = 23,919.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.