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Finding the Fourth Proportional to 24,828.26, 37,243.53 and 8,189.75

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Solution

The fourth proportional to 24,828.26, 37,243.53 and 8,189.75 is: 12,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828.26 : 37,243.53 = 8,189.75 : x
  2. Step 2: Convert to fraction form
    24,828.26/37,243.53 = 8,189.75/x
  3. Step 3: Cross multiply
    24,828.26x = 37,243.53 × 8,189.75
  4. Step 4: Simplify right side
    24,828.26x = 305,014,972.65
  5. Step 5: Solve for x
    x = 305,014,972.65/24,828.26
  6. Step 6: Final answer
    x = 12,284.99

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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.