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Finding the Fourth Proportional to 27,699.54, 41,548.22 and 9,231.54

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Solution

The fourth proportional to 27,699.54, 41,548.22 and 9,231.54 is: 13,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,699.54 : 41,548.22 = 9,231.54 : x
  2. Step 2: Convert to fraction form
    27,699.54/41,548.22 = 9,231.54/x
  3. Step 3: Cross multiply
    27,699.54x = 41,548.22 × 9,231.54
  4. Step 4: Simplify right side
    27,699.54x = 383,554,054.86
  5. Step 5: Solve for x
    x = 383,554,054.86/27,699.54
  6. Step 6: Final answer
    x = 13,846.95

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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.