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Finding the Fourth Proportional to 14,796.57, 20,419.38 and 8,082.09

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Solution

The fourth proportional to 14,796.57, 20,419.38 and 8,082.09 is: 11,153.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.57 : 20,419.38 = 8,082.09 : x
  2. Step 2: Convert to fraction form
    14,796.57/20,419.38 = 8,082.09/x
  3. Step 3: Cross multiply
    14,796.57x = 20,419.38 × 8,082.09
  4. Step 4: Simplify right side
    14,796.57x = 165,031,266.90
  5. Step 5: Solve for x
    x = 165,031,266.90/14,796.57
  6. Step 6: Final answer
    x = 11,153.35

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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.