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Finding the Fourth Proportional to 23,695.29, 35,517.96 and 7,896.11

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Solution

The fourth proportional to 23,695.29, 35,517.96 and 7,896.11 is: 11,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695.29 : 35,517.96 = 7,896.11 : x
  2. Step 2: Convert to fraction form
    23,695.29/35,517.96 = 7,896.11/x
  3. Step 3: Cross multiply
    23,695.29x = 35,517.96 × 7,896.11
  4. Step 4: Simplify right side
    23,695.29x = 280,453,541.55
  5. Step 5: Solve for x
    x = 280,453,541.55/23,695.29
  6. Step 6: Final answer
    x = 11,835.83

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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.