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Finding the Fourth Proportional to 14,796.45, 20,419.49 and 8,082.02

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Solution

The fourth proportional to 14,796.45, 20,419.49 and 8,082.02 is: 11,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.45 : 20,419.49 = 8,082.02 : x
  2. Step 2: Convert to fraction form
    14,796.45/20,419.49 = 8,082.02/x
  3. Step 3: Cross multiply
    14,796.45x = 20,419.49 × 8,082.02
  4. Step 4: Simplify right side
    14,796.45x = 165,030,584.06
  5. Step 5: Solve for x
    x = 165,030,584.06/14,796.45
  6. Step 6: Final answer
    x = 11,153.39

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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.