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Finding the Fourth Proportional to 20,682.90, 31,024.35 and 8,205.90

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Solution

The fourth proportional to 20,682.90, 31,024.35 and 8,205.90 is: 12,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.90 : 31,024.35 = 8,205.90 : x
  2. Step 2: Convert to fraction form
    20,682.90/31,024.35 = 8,205.90/x
  3. Step 3: Cross multiply
    20,682.90x = 31,024.35 × 8,205.90
  4. Step 4: Simplify right side
    20,682.90x = 254,582,713.67
  5. Step 5: Solve for x
    x = 254,582,713.67/20,682.90
  6. Step 6: Final answer
    x = 12,308.85

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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.