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Finding the Fourth Proportional to 23,431.77, 35,151.30 and 7,845.75

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Solution

The fourth proportional to 23,431.77, 35,151.30 and 7,845.75 is: 11,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,431.77 : 35,151.30 = 7,845.75 : x
  2. Step 2: Convert to fraction form
    23,431.77/35,151.30 = 7,845.75/x
  3. Step 3: Cross multiply
    23,431.77x = 35,151.30 × 7,845.75
  4. Step 4: Simplify right side
    23,431.77x = 275,788,311.98
  5. Step 5: Solve for x
    x = 275,788,311.98/23,431.77
  6. Step 6: Final answer
    x = 11,769.85

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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.