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Finding the Fourth Proportional to 16,912.53, 23,341.74 and 9,842.85

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Solution

The fourth proportional to 16,912.53, 23,341.74 and 9,842.85 is: 13,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,912.53 : 23,341.74 = 9,842.85 : x
  2. Step 2: Convert to fraction form
    16,912.53/23,341.74 = 9,842.85/x
  3. Step 3: Cross multiply
    16,912.53x = 23,341.74 × 9,842.85
  4. Step 4: Simplify right side
    16,912.53x = 229,749,245.56
  5. Step 5: Solve for x
    x = 229,749,245.56/16,912.53
  6. Step 6: Final answer
    x = 13,584.56

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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.