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Finding the Fourth Proportional to 26,122.38, 36,059.16 and 17,629.50

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Solution

The fourth proportional to 26,122.38, 36,059.16 and 17,629.50 is: 24,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,122.38 : 36,059.16 = 17,629.50 : x
  2. Step 2: Convert to fraction form
    26,122.38/36,059.16 = 17,629.50/x
  3. Step 3: Cross multiply
    26,122.38x = 36,059.16 × 17,629.50
  4. Step 4: Simplify right side
    26,122.38x = 635,704,961.22
  5. Step 5: Solve for x
    x = 635,704,961.22/26,122.38
  6. Step 6: Final answer
    x = 24,335.64

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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.