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Finding the Fourth Proportional to 17,228, 25,842.24 and 4,916

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Solution

The fourth proportional to 17,228, 25,842.24 and 4,916 is: 7,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,228 : 25,842.24 = 4,916 : x
  2. Step 2: Convert to fraction form
    17,228/25,842.24 = 4,916/x
  3. Step 3: Cross multiply
    17,228x = 25,842.24 × 4,916
  4. Step 4: Simplify right side
    17,228x = 127,040,451.84
  5. Step 5: Solve for x
    x = 127,040,451.84/17,228
  6. Step 6: Final answer
    x = 7,374.07

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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.