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Finding the Fourth Proportional to 23,835.94, 35,728.96 and 8,035.51

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Solution

The fourth proportional to 23,835.94, 35,728.96 and 8,035.51 is: 12,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,835.94 : 35,728.96 = 8,035.51 : x
  2. Step 2: Convert to fraction form
    23,835.94/35,728.96 = 8,035.51/x
  3. Step 3: Cross multiply
    23,835.94x = 35,728.96 × 8,035.51
  4. Step 4: Simplify right side
    23,835.94x = 287,100,415.37
  5. Step 5: Solve for x
    x = 287,100,415.37/23,835.94
  6. Step 6: Final answer
    x = 12,044.85

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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.