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Finding the Fourth Proportional to 22,305.73, 30,782.30 and 12,234.09

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Solution

The fourth proportional to 22,305.73, 30,782.30 and 12,234.09 is: 16,883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.73 : 30,782.30 = 12,234.09 : x
  2. Step 2: Convert to fraction form
    22,305.73/30,782.30 = 12,234.09/x
  3. Step 3: Cross multiply
    22,305.73x = 30,782.30 × 12,234.09
  4. Step 4: Simplify right side
    22,305.73x = 376,593,428.61
  5. Step 5: Solve for x
    x = 376,593,428.61/22,305.73
  6. Step 6: Final answer
    x = 16,883.26

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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.