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Finding the Fourth Proportional to 16,835.75, 23,234.06 and 9,383.75

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Solution

The fourth proportional to 16,835.75, 23,234.06 and 9,383.75 is: 12,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835.75 : 23,234.06 = 9,383.75 : x
  2. Step 2: Convert to fraction form
    16,835.75/23,234.06 = 9,383.75/x
  3. Step 3: Cross multiply
    16,835.75x = 23,234.06 × 9,383.75
  4. Step 4: Simplify right side
    16,835.75x = 218,022,563.61
  5. Step 5: Solve for x
    x = 218,022,563.61/16,835.75
  6. Step 6: Final answer
    x = 12,949.98

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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.