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Finding the Fourth Proportional to 14,796.95, 20,419.65 and 8,082.56

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Solution

The fourth proportional to 14,796.95, 20,419.65 and 8,082.56 is: 11,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.95 : 20,419.65 = 8,082.56 : x
  2. Step 2: Convert to fraction form
    14,796.95/20,419.65 = 8,082.56/x
  3. Step 3: Cross multiply
    14,796.95x = 20,419.65 × 8,082.56
  4. Step 4: Simplify right side
    14,796.95x = 165,043,046.30
  5. Step 5: Solve for x
    x = 165,043,046.30/14,796.95
  6. Step 6: Final answer
    x = 11,153.86

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1.5x scale

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.