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Finding the Fourth Proportional to 23,611.35, 35,408.51 and 7,813.46

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Solution

The fourth proportional to 23,611.35, 35,408.51 and 7,813.46 is: 11,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.35 : 35,408.51 = 7,813.46 : x
  2. Step 2: Convert to fraction form
    23,611.35/35,408.51 = 7,813.46/x
  3. Step 3: Cross multiply
    23,611.35x = 35,408.51 × 7,813.46
  4. Step 4: Simplify right side
    23,611.35x = 276,663,099.25
  5. Step 5: Solve for x
    x = 276,663,099.25/23,611.35
  6. Step 6: Final answer
    x = 11,717.38

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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.