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Finding the Fourth Proportional to 26,493.96, 39,736.62 and 9,850.08

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Solution

The fourth proportional to 26,493.96, 39,736.62 and 9,850.08 is: 14,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,493.96 : 39,736.62 = 9,850.08 : x
  2. Step 2: Convert to fraction form
    26,493.96/39,736.62 = 9,850.08/x
  3. Step 3: Cross multiply
    26,493.96x = 39,736.62 × 9,850.08
  4. Step 4: Simplify right side
    26,493.96x = 391,408,885.93
  5. Step 5: Solve for x
    x = 391,408,885.93/26,493.96
  6. Step 6: Final answer
    x = 14,773.51

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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.