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Finding the Fourth Proportional to 16,626.50, 22,944.83 and 9,456.23

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Solution

The fourth proportional to 16,626.50, 22,944.83 and 9,456.23 is: 13,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,626.50 : 22,944.83 = 9,456.23 : x
  2. Step 2: Convert to fraction form
    16,626.50/22,944.83 = 9,456.23/x
  3. Step 3: Cross multiply
    16,626.50x = 22,944.83 × 9,456.23
  4. Step 4: Simplify right side
    16,626.50x = 216,971,589.79
  5. Step 5: Solve for x
    x = 216,971,589.79/16,626.50
  6. Step 6: Final answer
    x = 13,049.75

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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.