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Finding the Fourth Proportional to 22,408.16, 33,556.77 and 13,019.70

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Solution

The fourth proportional to 22,408.16, 33,556.77 and 13,019.70 is: 19,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.16 : 33,556.77 = 13,019.70 : x
  2. Step 2: Convert to fraction form
    22,408.16/33,556.77 = 13,019.70/x
  3. Step 3: Cross multiply
    22,408.16x = 33,556.77 × 13,019.70
  4. Step 4: Simplify right side
    22,408.16x = 436,899,078.37
  5. Step 5: Solve for x
    x = 436,899,078.37/22,408.16
  6. Step 6: Final answer
    x = 19,497.32

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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.