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Finding the Fourth Proportional to 14,082.42, 19,433.52 and 8,493.42

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Solution

The fourth proportional to 14,082.42, 19,433.52 and 8,493.42 is: 11,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.42 : 19,433.52 = 8,493.42 : x
  2. Step 2: Convert to fraction form
    14,082.42/19,433.52 = 8,493.42/x
  3. Step 3: Cross multiply
    14,082.42x = 19,433.52 × 8,493.42
  4. Step 4: Simplify right side
    14,082.42x = 165,057,047.44
  5. Step 5: Solve for x
    x = 165,057,047.44/14,082.42
  6. Step 6: Final answer
    x = 11,720.79

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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.