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Finding the Fourth Proportional to 17,057.66, 23,541.31 and 9,505.22

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Solution

The fourth proportional to 17,057.66, 23,541.31 and 9,505.22 is: 13,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.66 : 23,541.31 = 9,505.22 : x
  2. Step 2: Convert to fraction form
    17,057.66/23,541.31 = 9,505.22/x
  3. Step 3: Cross multiply
    17,057.66x = 23,541.31 × 9,505.22
  4. Step 4: Simplify right side
    17,057.66x = 223,765,365.73
  5. Step 5: Solve for x
    x = 223,765,365.73/17,057.66
  6. Step 6: Final answer
    x = 13,118.17

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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.