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Finding the Fourth Proportional to 16,382.88, 22,608.35 and 9,309.30

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Solution

The fourth proportional to 16,382.88, 22,608.35 and 9,309.30 is: 12,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.88 : 22,608.35 = 9,309.30 : x
  2. Step 2: Convert to fraction form
    16,382.88/22,608.35 = 9,309.30/x
  3. Step 3: Cross multiply
    16,382.88x = 22,608.35 × 9,309.30
  4. Step 4: Simplify right side
    16,382.88x = 210,467,912.66
  5. Step 5: Solve for x
    x = 210,467,912.66/16,382.88
  6. Step 6: Final answer
    x = 12,846.82

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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.