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Finding the Fourth Proportional to 22,175.88, 33,262.56 and 13,408.44

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Solution

The fourth proportional to 22,175.88, 33,262.56 and 13,408.44 is: 20,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175.88 : 33,262.56 = 13,408.44 : x
  2. Step 2: Convert to fraction form
    22,175.88/33,262.56 = 13,408.44/x
  3. Step 3: Cross multiply
    22,175.88x = 33,262.56 × 13,408.44
  4. Step 4: Simplify right side
    22,175.88x = 445,999,040.01
  5. Step 5: Solve for x
    x = 445,999,040.01/22,175.88
  6. Step 6: Final answer
    x = 20,111.90

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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.