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Finding the Fourth Proportional to 16,754.98, 23,122.31 and 9,201.80

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Solution

The fourth proportional to 16,754.98, 23,122.31 and 9,201.80 is: 12,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,754.98 : 23,122.31 = 9,201.80 : x
  2. Step 2: Convert to fraction form
    16,754.98/23,122.31 = 9,201.80/x
  3. Step 3: Cross multiply
    16,754.98x = 23,122.31 × 9,201.80
  4. Step 4: Simplify right side
    16,754.98x = 212,766,872.16
  5. Step 5: Solve for x
    x = 212,766,872.16/16,754.98
  6. Step 6: Final answer
    x = 12,698.72

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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.