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Finding the Fourth Proportional to 23,812.76, 35,735.34 and 8,230.25

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Solution

The fourth proportional to 23,812.76, 35,735.34 and 8,230.25 is: 12,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.76 : 35,735.34 = 8,230.25 : x
  2. Step 2: Convert to fraction form
    23,812.76/35,735.34 = 8,230.25/x
  3. Step 3: Cross multiply
    23,812.76x = 35,735.34 × 8,230.25
  4. Step 4: Simplify right side
    23,812.76x = 294,110,782.04
  5. Step 5: Solve for x
    x = 294,110,782.04/23,812.76
  6. Step 6: Final answer
    x = 12,350.97

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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.