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Finding the Fourth Proportional to 23,650.77, 35,478.90 and 7,857.21

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Solution

The fourth proportional to 23,650.77, 35,478.90 and 7,857.21 is: 11,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,650.77 : 35,478.90 = 7,857.21 : x
  2. Step 2: Convert to fraction form
    23,650.77/35,478.90 = 7,857.21/x
  3. Step 3: Cross multiply
    23,650.77x = 35,478.90 × 7,857.21
  4. Step 4: Simplify right side
    23,650.77x = 278,765,167.87
  5. Step 5: Solve for x
    x = 278,765,167.87/23,650.77
  6. Step 6: Final answer
    x = 11,786.73

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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.