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Finding the Fourth Proportional to 23,408.81, 35,105.90 and 7,822.79

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Solution

The fourth proportional to 23,408.81, 35,105.90 and 7,822.79 is: 11,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.81 : 35,105.90 = 7,822.79 : x
  2. Step 2: Convert to fraction form
    23,408.81/35,105.90 = 7,822.79/x
  3. Step 3: Cross multiply
    23,408.81x = 35,105.90 × 7,822.79
  4. Step 4: Simplify right side
    23,408.81x = 274,625,868.82
  5. Step 5: Solve for x
    x = 274,625,868.82/23,408.81
  6. Step 6: Final answer
    x = 11,731.73

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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.