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Finding the Fourth Proportional to 17,057.67, 23,541.31 and 9,505.23

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Solution

The fourth proportional to 17,057.67, 23,541.31 and 9,505.23 is: 13,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.67 : 23,541.31 = 9,505.23 : x
  2. Step 2: Convert to fraction form
    17,057.67/23,541.31 = 9,505.23/x
  3. Step 3: Cross multiply
    17,057.67x = 23,541.31 × 9,505.23
  4. Step 4: Simplify right side
    17,057.67x = 223,765,566.05
  5. Step 5: Solve for x
    x = 223,765,566.05/17,057.67
  6. Step 6: Final answer
    x = 13,118.18

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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.