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Finding the Fourth Proportional to 12,226.83, 18,329.72 and 5,200.41

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Solution

The fourth proportional to 12,226.83, 18,329.72 and 5,200.41 is: 7,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.83 : 18,329.72 = 5,200.41 : x
  2. Step 2: Convert to fraction form
    12,226.83/18,329.72 = 5,200.41/x
  3. Step 3: Cross multiply
    12,226.83x = 18,329.72 × 5,200.41
  4. Step 4: Simplify right side
    12,226.83x = 95,322,072.19
  5. Step 5: Solve for x
    x = 95,322,072.19/12,226.83
  6. Step 6: Final answer
    x = 7,796.14

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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.