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Finding the Fourth Proportional to 26,958.38, 40,432 and 7,232.26

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Solution

The fourth proportional to 26,958.38, 40,432 and 7,232.26 is: 10,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,958.38 : 40,432 = 7,232.26 : x
  2. Step 2: Convert to fraction form
    26,958.38/40,432 = 7,232.26/x
  3. Step 3: Cross multiply
    26,958.38x = 40,432 × 7,232.26
  4. Step 4: Simplify right side
    26,958.38x = 292,414,736.32
  5. Step 5: Solve for x
    x = 292,414,736.32/26,958.38
  6. Step 6: Final answer
    x = 10,846.90

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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.