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Finding the Fourth Proportional to 23,846.38, 35,765.49 and 6,317.98

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Solution

The fourth proportional to 23,846.38, 35,765.49 and 6,317.98 is: 9,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,846.38 : 35,765.49 = 6,317.98 : x
  2. Step 2: Convert to fraction form
    23,846.38/35,765.49 = 6,317.98/x
  3. Step 3: Cross multiply
    23,846.38x = 35,765.49 × 6,317.98
  4. Step 4: Simplify right side
    23,846.38x = 225,965,650.51
  5. Step 5: Solve for x
    x = 225,965,650.51/23,846.38
  6. Step 6: Final answer
    x = 9,475.89

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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.