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Finding the Fourth Proportional to 23,861.28, 35,806 and 9,082.64

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Solution

The fourth proportional to 23,861.28, 35,806 and 9,082.64 is: 13,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.28 : 35,806 = 9,082.64 : x
  2. Step 2: Convert to fraction form
    23,861.28/35,806 = 9,082.64/x
  3. Step 3: Cross multiply
    23,861.28x = 35,806 × 9,082.64
  4. Step 4: Simplify right side
    23,861.28x = 325,213,007.84
  5. Step 5: Solve for x
    x = 325,213,007.84/23,861.28
  6. Step 6: Final answer
    x = 13,629.32

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Why These Related Problems?

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