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Finding the Fourth Proportional to 17,284.26, 23,852.10 and 9,832.26

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Solution

The fourth proportional to 17,284.26, 23,852.10 and 9,832.26 is: 13,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.26 : 23,852.10 = 9,832.26 : x
  2. Step 2: Convert to fraction form
    17,284.26/23,852.10 = 9,832.26/x
  3. Step 3: Cross multiply
    17,284.26x = 23,852.10 × 9,832.26
  4. Step 4: Simplify right side
    17,284.26x = 234,520,048.75
  5. Step 5: Solve for x
    x = 234,520,048.75/17,284.26
  6. Step 6: Final answer
    x = 13,568.42

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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.