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Finding the Fourth Proportional to 17,584.25, 24,266.27 and 9,626.48

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Solution

The fourth proportional to 17,584.25, 24,266.27 and 9,626.48 is: 13,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.25 : 24,266.27 = 9,626.48 : x
  2. Step 2: Convert to fraction form
    17,584.25/24,266.27 = 9,626.48/x
  3. Step 3: Cross multiply
    17,584.25x = 24,266.27 × 9,626.48
  4. Step 4: Simplify right side
    17,584.25x = 233,598,786.90
  5. Step 5: Solve for x
    x = 233,598,786.90/17,584.25
  6. Step 6: Final answer
    x = 13,284.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.