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Finding the Fourth Proportional to 23,861.30, 35,782.83 and 7,847.11

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Solution

The fourth proportional to 23,861.30, 35,782.83 and 7,847.11 is: 11,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.30 : 35,782.83 = 7,847.11 : x
  2. Step 2: Convert to fraction form
    23,861.30/35,782.83 = 7,847.11/x
  3. Step 3: Cross multiply
    23,861.30x = 35,782.83 × 7,847.11
  4. Step 4: Simplify right side
    23,861.30x = 280,791,803.12
  5. Step 5: Solve for x
    x = 280,791,803.12/23,861.30
  6. Step 6: Final answer
    x = 11,767.67

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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.