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Finding the Fourth Proportional to 23,945.25, 35,923.64 and 7,529.25

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Solution

The fourth proportional to 23,945.25, 35,923.64 and 7,529.25 is: 11,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,945.25 : 35,923.64 = 7,529.25 : x
  2. Step 2: Convert to fraction form
    23,945.25/35,923.64 = 7,529.25/x
  3. Step 3: Cross multiply
    23,945.25x = 35,923.64 × 7,529.25
  4. Step 4: Simplify right side
    23,945.25x = 270,478,028.82
  5. Step 5: Solve for x
    x = 270,478,028.82/23,945.25
  6. Step 6: Final answer
    x = 11,295.69

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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.