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Finding the Fourth Proportional to 16,456.56, 22,709.94 and 9,004.56

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Solution

The fourth proportional to 16,456.56, 22,709.94 and 9,004.56 is: 12,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.56 : 22,709.94 = 9,004.56 : x
  2. Step 2: Convert to fraction form
    16,456.56/22,709.94 = 9,004.56/x
  3. Step 3: Cross multiply
    16,456.56x = 22,709.94 × 9,004.56
  4. Step 4: Simplify right side
    16,456.56x = 204,493,017.33
  5. Step 5: Solve for x
    x = 204,493,017.33/16,456.56
  6. Step 6: Final answer
    x = 12,426.23

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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.