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Finding the Fourth Proportional to 12,433, 18,634.30 and 5,850.44

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Solution

The fourth proportional to 12,433, 18,634.30 and 5,850.44 is: 8,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433 : 18,634.30 = 5,850.44 : x
  2. Step 2: Convert to fraction form
    12,433/18,634.30 = 5,850.44/x
  3. Step 3: Cross multiply
    12,433x = 18,634.30 × 5,850.44
  4. Step 4: Simplify right side
    12,433x = 109,018,854.09
  5. Step 5: Solve for x
    x = 109,018,854.09/12,433
  6. Step 6: Final answer
    x = 8,768.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.