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Finding the Fourth Proportional to 23,109.81, 31,884.09 and 18,249.11

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Solution

The fourth proportional to 23,109.81, 31,884.09 and 18,249.11 is: 25,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.81 : 31,884.09 = 18,249.11 : x
  2. Step 2: Convert to fraction form
    23,109.81/31,884.09 = 18,249.11/x
  3. Step 3: Cross multiply
    23,109.81x = 31,884.09 × 18,249.11
  4. Step 4: Simplify right side
    23,109.81x = 581,856,106.24
  5. Step 5: Solve for x
    x = 581,856,106.24/23,109.81
  6. Step 6: Final answer
    x = 25,177.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.