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Finding the Fourth Proportional to 16,524.06, 22,805 and 9,811.33

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Solution

The fourth proportional to 16,524.06, 22,805 and 9,811.33 is: 13,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.06 : 22,805 = 9,811.33 : x
  2. Step 2: Convert to fraction form
    16,524.06/22,805 = 9,811.33/x
  3. Step 3: Cross multiply
    16,524.06x = 22,805 × 9,811.33
  4. Step 4: Simplify right side
    16,524.06x = 223,747,380.65
  5. Step 5: Solve for x
    x = 223,747,380.65/16,524.06
  6. Step 6: Final answer
    x = 13,540.70

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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.