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Finding the Fourth Proportional to 23,821.84, 35,736.54 and 8,240.68

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Solution

The fourth proportional to 23,821.84, 35,736.54 and 8,240.68 is: 12,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.84 : 35,736.54 = 8,240.68 : x
  2. Step 2: Convert to fraction form
    23,821.84/35,736.54 = 8,240.68/x
  3. Step 3: Cross multiply
    23,821.84x = 35,736.54 × 8,240.68
  4. Step 4: Simplify right side
    23,821.84x = 294,493,390.45
  5. Step 5: Solve for x
    x = 294,493,390.45/23,821.84
  6. Step 6: Final answer
    x = 12,362.33

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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.