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Finding the Fourth Proportional to 23,882.09, 35,824.23 and 8,086.68

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Solution

The fourth proportional to 23,882.09, 35,824.23 and 8,086.68 is: 12,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,882.09 : 35,824.23 = 8,086.68 : x
  2. Step 2: Convert to fraction form
    23,882.09/35,824.23 = 8,086.68/x
  3. Step 3: Cross multiply
    23,882.09x = 35,824.23 × 8,086.68
  4. Step 4: Simplify right side
    23,882.09x = 289,699,084.26
  5. Step 5: Solve for x
    x = 289,699,084.26/23,882.09
  6. Step 6: Final answer
    x = 12,130.39

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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.