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Finding the Fourth Proportional to 25,906.38, 35,759.48 and 17,405.61

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Solution

The fourth proportional to 25,906.38, 35,759.48 and 17,405.61 is: 24,025.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906.38 : 35,759.48 = 17,405.61 : x
  2. Step 2: Convert to fraction form
    25,906.38/35,759.48 = 17,405.61/x
  3. Step 3: Cross multiply
    25,906.38x = 35,759.48 × 17,405.61
  4. Step 4: Simplify right side
    25,906.38x = 622,415,475.65
  5. Step 5: Solve for x
    x = 622,415,475.65/25,906.38
  6. Step 6: Final answer
    x = 24,025.57

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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.