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Finding the Fourth Proportional to 23,842.38, 35,759.46 and 6,313.98

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Solution

The fourth proportional to 23,842.38, 35,759.46 and 6,313.98 is: 9,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.38 : 35,759.46 = 6,313.98 : x
  2. Step 2: Convert to fraction form
    23,842.38/35,759.46 = 6,313.98/x
  3. Step 3: Cross multiply
    23,842.38x = 35,759.46 × 6,313.98
  4. Step 4: Simplify right side
    23,842.38x = 225,784,515.25
  5. Step 5: Solve for x
    x = 225,784,515.25/23,842.38
  6. Step 6: Final answer
    x = 9,469.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.