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Finding the Fourth Proportional to 12,914.13, 17,823.96 and 8,441.73

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Solution

The fourth proportional to 12,914.13, 17,823.96 and 8,441.73 is: 11,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.13 : 17,823.96 = 8,441.73 : x
  2. Step 2: Convert to fraction form
    12,914.13/17,823.96 = 8,441.73/x
  3. Step 3: Cross multiply
    12,914.13x = 17,823.96 × 8,441.73
  4. Step 4: Simplify right side
    12,914.13x = 150,465,057.85
  5. Step 5: Solve for x
    x = 150,465,057.85/12,914.13
  6. Step 6: Final answer
    x = 11,651.20

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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.