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Finding the Fourth Proportional to 23,938.35, 35,906.27 and 7,297.98

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Solution

The fourth proportional to 23,938.35, 35,906.27 and 7,297.98 is: 10,946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,938.35 : 35,906.27 = 7,297.98 : x
  2. Step 2: Convert to fraction form
    23,938.35/35,906.27 = 7,297.98/x
  3. Step 3: Cross multiply
    23,938.35x = 35,906.27 × 7,297.98
  4. Step 4: Simplify right side
    23,938.35x = 262,043,203.84
  5. Step 5: Solve for x
    x = 262,043,203.84/23,938.35
  6. Step 6: Final answer
    x = 10,946.59

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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.