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Finding the Fourth Proportional to 23,576.39, 35,365.70 and 7,782.80

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Solution

The fourth proportional to 23,576.39, 35,365.70 and 7,782.80 is: 11,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.39 : 35,365.70 = 7,782.80 : x
  2. Step 2: Convert to fraction form
    23,576.39/35,365.70 = 7,782.80/x
  3. Step 3: Cross multiply
    23,576.39x = 35,365.70 × 7,782.80
  4. Step 4: Simplify right side
    23,576.39x = 275,244,169.96
  5. Step 5: Solve for x
    x = 275,244,169.96/23,576.39
  6. Step 6: Final answer
    x = 11,674.57

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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.