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Finding the Fourth Proportional to 12,338.24, 18,509.11 and 4,546.44

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Solution

The fourth proportional to 12,338.24, 18,509.11 and 4,546.44 is: 6,820.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.24 : 18,509.11 = 4,546.44 : x
  2. Step 2: Convert to fraction form
    12,338.24/18,509.11 = 4,546.44/x
  3. Step 3: Cross multiply
    12,338.24x = 18,509.11 × 4,546.44
  4. Step 4: Simplify right side
    12,338.24x = 84,150,546.70
  5. Step 5: Solve for x
    x = 84,150,546.70/12,338.24
  6. Step 6: Final answer
    x = 6,820.31

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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.