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Finding the Fourth Proportional to 23,840.38, 35,756.52 and 6,311.98

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Solution

The fourth proportional to 23,840.38, 35,756.52 and 6,311.98 is: 9,466.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.38 : 35,756.52 = 6,311.98 : x
  2. Step 2: Convert to fraction form
    23,840.38/35,756.52 = 6,311.98/x
  3. Step 3: Cross multiply
    23,840.38x = 35,756.52 × 6,311.98
  4. Step 4: Simplify right side
    23,840.38x = 225,694,439.11
  5. Step 5: Solve for x
    x = 225,694,439.11/23,840.38
  6. Step 6: Final answer
    x = 9,466.90

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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.