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Finding the Fourth Proportional to 19,894.56, 29,849.74 and 8,205.05

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Solution

The fourth proportional to 19,894.56, 29,849.74 and 8,205.05 is: 12,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.56 : 29,849.74 = 8,205.05 : x
  2. Step 2: Convert to fraction form
    19,894.56/29,849.74 = 8,205.05/x
  3. Step 3: Cross multiply
    19,894.56x = 29,849.74 × 8,205.05
  4. Step 4: Simplify right side
    19,894.56x = 244,918,439.43
  5. Step 5: Solve for x
    x = 244,918,439.43/19,894.56
  6. Step 6: Final answer
    x = 12,310.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.