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Finding the Fourth Proportional to 22,532.26, 33,749.14 and 11,419.87

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Solution

The fourth proportional to 22,532.26, 33,749.14 and 11,419.87 is: 17,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.26 : 33,749.14 = 11,419.87 : x
  2. Step 2: Convert to fraction form
    22,532.26/33,749.14 = 11,419.87/x
  3. Step 3: Cross multiply
    22,532.26x = 33,749.14 × 11,419.87
  4. Step 4: Simplify right side
    22,532.26x = 385,410,791.41
  5. Step 5: Solve for x
    x = 385,410,791.41/22,532.26
  6. Step 6: Final answer
    x = 17,104.84

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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.