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Finding the Fourth Proportional to 23,529.87, 35,299.14 and 7,735.80

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Solution

The fourth proportional to 23,529.87, 35,299.14 and 7,735.80 is: 11,605.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529.87 : 35,299.14 = 7,735.80 : x
  2. Step 2: Convert to fraction form
    23,529.87/35,299.14 = 7,735.80/x
  3. Step 3: Cross multiply
    23,529.87x = 35,299.14 × 7,735.80
  4. Step 4: Simplify right side
    23,529.87x = 273,067,087.21
  5. Step 5: Solve for x
    x = 273,067,087.21/23,529.87
  6. Step 6: Final answer
    x = 11,605.13

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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.