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Finding the Fourth Proportional to 22,759.58, 31,408.26 and 13,201.28

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Solution

The fourth proportional to 22,759.58, 31,408.26 and 13,201.28 is: 18,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.58 : 31,408.26 = 13,201.28 : x
  2. Step 2: Convert to fraction form
    22,759.58/31,408.26 = 13,201.28/x
  3. Step 3: Cross multiply
    22,759.58x = 31,408.26 × 13,201.28
  4. Step 4: Simplify right side
    22,759.58x = 414,629,145.81
  5. Step 5: Solve for x
    x = 414,629,145.81/22,759.58
  6. Step 6: Final answer
    x = 18,217.78

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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.