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Finding the Fourth Proportional to 23,836.96, 35,759.76 and 7,196.32

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Solution

The fourth proportional to 23,836.96, 35,759.76 and 7,196.32 is: 10,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,836.96 : 35,759.76 = 7,196.32 : x
  2. Step 2: Convert to fraction form
    23,836.96/35,759.76 = 7,196.32/x
  3. Step 3: Cross multiply
    23,836.96x = 35,759.76 × 7,196.32
  4. Step 4: Simplify right side
    23,836.96x = 257,338,676.08
  5. Step 5: Solve for x
    x = 257,338,676.08/23,836.96
  6. Step 6: Final answer
    x = 10,795.78

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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.