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Finding the Fourth Proportional to 16,439.49, 22,687.34 and 9,728.97

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Solution

The fourth proportional to 16,439.49, 22,687.34 and 9,728.97 is: 13,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.49 : 22,687.34 = 9,728.97 : x
  2. Step 2: Convert to fraction form
    16,439.49/22,687.34 = 9,728.97/x
  3. Step 3: Cross multiply
    16,439.49x = 22,687.34 × 9,728.97
  4. Step 4: Simplify right side
    16,439.49x = 220,724,401.59
  5. Step 5: Solve for x
    x = 220,724,401.59/16,439.49
  6. Step 6: Final answer
    x = 13,426.48

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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.