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Finding the Fourth Proportional to 23,653.68, 35,471.87 and 7,855.85

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Solution

The fourth proportional to 23,653.68, 35,471.87 and 7,855.85 is: 11,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.68 : 35,471.87 = 7,855.85 : x
  2. Step 2: Convert to fraction form
    23,653.68/35,471.87 = 7,855.85/x
  3. Step 3: Cross multiply
    23,653.68x = 35,471.87 × 7,855.85
  4. Step 4: Simplify right side
    23,653.68x = 278,661,473.30
  5. Step 5: Solve for x
    x = 278,661,473.30/23,653.68
  6. Step 6: Final answer
    x = 11,780.89

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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.