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Finding the Fourth Proportional to 23,847.96, 35,772.23 and 7,208.13

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Solution

The fourth proportional to 23,847.96, 35,772.23 and 7,208.13 is: 10,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.96 : 35,772.23 = 7,208.13 : x
  2. Step 2: Convert to fraction form
    23,847.96/35,772.23 = 7,208.13/x
  3. Step 3: Cross multiply
    23,847.96x = 35,772.23 × 7,208.13
  4. Step 4: Simplify right side
    23,847.96x = 257,850,884.23
  5. Step 5: Solve for x
    x = 257,850,884.23/23,847.96
  6. Step 6: Final answer
    x = 10,812.28

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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.