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Finding the Fourth Proportional to 14,817.33, 20,447.84 and 8,102.84

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Solution

The fourth proportional to 14,817.33, 20,447.84 and 8,102.84 is: 11,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817.33 : 20,447.84 = 8,102.84 : x
  2. Step 2: Convert to fraction form
    14,817.33/20,447.84 = 8,102.84/x
  3. Step 3: Cross multiply
    14,817.33x = 20,447.84 × 8,102.84
  4. Step 4: Simplify right side
    14,817.33x = 165,685,493.88
  5. Step 5: Solve for x
    x = 165,685,493.88/14,817.33
  6. Step 6: Final answer
    x = 11,181.87

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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.