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Finding the Fourth Proportional to 21,922.10, 32,883.15 and 8,069.30

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Solution

The fourth proportional to 21,922.10, 32,883.15 and 8,069.30 is: 12,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.10 : 32,883.15 = 8,069.30 : x
  2. Step 2: Convert to fraction form
    21,922.10/32,883.15 = 8,069.30/x
  3. Step 3: Cross multiply
    21,922.10x = 32,883.15 × 8,069.30
  4. Step 4: Simplify right side
    21,922.10x = 265,344,002.30
  5. Step 5: Solve for x
    x = 265,344,002.30/21,922.10
  6. Step 6: Final answer
    x = 12,103.95

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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.