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Finding the Fourth Proportional to 18,236.88, 27,338.04 and 7,842

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Solution

The fourth proportional to 18,236.88, 27,338.04 and 7,842 is: 11,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,236.88 : 27,338.04 = 7,842 : x
  2. Step 2: Convert to fraction form
    18,236.88/27,338.04 = 7,842/x
  3. Step 3: Cross multiply
    18,236.88x = 27,338.04 × 7,842
  4. Step 4: Simplify right side
    18,236.88x = 214,384,909.68
  5. Step 5: Solve for x
    x = 214,384,909.68/18,236.88
  6. Step 6: Final answer
    x = 11,755.57

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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.