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Finding the Fourth Proportional to 23,524.56, 35,289.72 and 7,938

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Solution

The fourth proportional to 23,524.56, 35,289.72 and 7,938 is: 11,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.56 : 35,289.72 = 7,938 : x
  2. Step 2: Convert to fraction form
    23,524.56/35,289.72 = 7,938/x
  3. Step 3: Cross multiply
    23,524.56x = 35,289.72 × 7,938
  4. Step 4: Simplify right side
    23,524.56x = 280,129,797.36
  5. Step 5: Solve for x
    x = 280,129,797.36/23,524.56
  6. Step 6: Final answer
    x = 11,907.97

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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.