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Finding the Fourth Proportional to 12,189.83, 18,249.10 and 11,022.51

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Solution

The fourth proportional to 12,189.83, 18,249.10 and 11,022.51 is: 16,501.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.83 : 18,249.10 = 11,022.51 : x
  2. Step 2: Convert to fraction form
    12,189.83/18,249.10 = 11,022.51/x
  3. Step 3: Cross multiply
    12,189.83x = 18,249.10 × 11,022.51
  4. Step 4: Simplify right side
    12,189.83x = 201,150,928.12
  5. Step 5: Solve for x
    x = 201,150,928.12/12,189.83
  6. Step 6: Final answer
    x = 16,501.54

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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.