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Finding the Fourth Proportional to 12,109.96, 18,135.72 and 12,022.48

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Solution

The fourth proportional to 12,109.96, 18,135.72 and 12,022.48 is: 18,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.96 : 18,135.72 = 12,022.48 : x
  2. Step 2: Convert to fraction form
    12,109.96/18,135.72 = 12,022.48/x
  3. Step 3: Cross multiply
    12,109.96x = 18,135.72 × 12,022.48
  4. Step 4: Simplify right side
    12,109.96x = 218,036,330.99
  5. Step 5: Solve for x
    x = 218,036,330.99/12,109.96
  6. Step 6: Final answer
    x = 18,004.71

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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.