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Finding the Fourth Proportional to 14,797.96, 20,420.36 and 8,082.24

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Solution

The fourth proportional to 14,797.96, 20,420.36 and 8,082.24 is: 11,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.96 : 20,420.36 = 8,082.24 : x
  2. Step 2: Convert to fraction form
    14,797.96/20,420.36 = 8,082.24/x
  3. Step 3: Cross multiply
    14,797.96x = 20,420.36 × 8,082.24
  4. Step 4: Simplify right side
    14,797.96x = 165,042,250.41
  5. Step 5: Solve for x
    x = 165,042,250.41/14,797.96
  6. Step 6: Final answer
    x = 11,153.04

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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.