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Finding the Fourth Proportional to 14,796.70, 20,419.37 and 8,082.26

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Solution

The fourth proportional to 14,796.70, 20,419.37 and 8,082.26 is: 11,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.70 : 20,419.37 = 8,082.26 : x
  2. Step 2: Convert to fraction form
    14,796.70/20,419.37 = 8,082.26/x
  3. Step 3: Cross multiply
    14,796.70x = 20,419.37 × 8,082.26
  4. Step 4: Simplify right side
    14,796.70x = 165,034,657.38
  5. Step 5: Solve for x
    x = 165,034,657.38/14,796.70
  6. Step 6: Final answer
    x = 11,153.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.