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Finding the Fourth Proportional to 22,813.80, 34,212.60 and 8,023.20

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Solution

The fourth proportional to 22,813.80, 34,212.60 and 8,023.20 is: 12,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.80 : 34,212.60 = 8,023.20 : x
  2. Step 2: Convert to fraction form
    22,813.80/34,212.60 = 8,023.20/x
  3. Step 3: Cross multiply
    22,813.80x = 34,212.60 × 8,023.20
  4. Step 4: Simplify right side
    22,813.80x = 274,494,532.32
  5. Step 5: Solve for x
    x = 274,494,532.32/22,813.80
  6. Step 6: Final answer
    x = 12,031.95

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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.