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Finding the Fourth Proportional to 16,709.43, 23,057.48 and 9,634.49

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Solution

The fourth proportional to 16,709.43, 23,057.48 and 9,634.49 is: 13,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.43 : 23,057.48 = 9,634.49 : x
  2. Step 2: Convert to fraction form
    16,709.43/23,057.48 = 9,634.49/x
  3. Step 3: Cross multiply
    16,709.43x = 23,057.48 × 9,634.49
  4. Step 4: Simplify right side
    16,709.43x = 222,146,969.28
  5. Step 5: Solve for x
    x = 222,146,969.28/16,709.43
  6. Step 6: Final answer
    x = 13,294.71

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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.