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Finding the Fourth Proportional to 26,825.82, 40,243.05 and 8,353.50

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Solution

The fourth proportional to 26,825.82, 40,243.05 and 8,353.50 is: 12,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,825.82 : 40,243.05 = 8,353.50 : x
  2. Step 2: Convert to fraction form
    26,825.82/40,243.05 = 8,353.50/x
  3. Step 3: Cross multiply
    26,825.82x = 40,243.05 × 8,353.50
  4. Step 4: Simplify right side
    26,825.82x = 336,170,318.18
  5. Step 5: Solve for x
    x = 336,170,318.18/26,825.82
  6. Step 6: Final answer
    x = 12,531.60

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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.