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Finding the Fourth Proportional to 23,872.70, 35,813.10 and 7,232.60

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Solution

The fourth proportional to 23,872.70, 35,813.10 and 7,232.60 is: 10,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.70 : 35,813.10 = 7,232.60 : x
  2. Step 2: Convert to fraction form
    23,872.70/35,813.10 = 7,232.60/x
  3. Step 3: Cross multiply
    23,872.70x = 35,813.10 × 7,232.60
  4. Step 4: Simplify right side
    23,872.70x = 259,021,827.06
  5. Step 5: Solve for x
    x = 259,021,827.06/23,872.70
  6. Step 6: Final answer
    x = 10,850.13

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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.