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Finding the Fourth Proportional to 23,692.64, 35,546.26 and 17,044.16

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Solution

The fourth proportional to 23,692.64, 35,546.26 and 17,044.16 is: 25,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,692.64 : 35,546.26 = 17,044.16 : x
  2. Step 2: Convert to fraction form
    23,692.64/35,546.26 = 17,044.16/x
  3. Step 3: Cross multiply
    23,692.64x = 35,546.26 × 17,044.16
  4. Step 4: Simplify right side
    23,692.64x = 605,856,142.84
  5. Step 5: Solve for x
    x = 605,856,142.84/23,692.64
  6. Step 6: Final answer
    x = 25,571.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.