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Finding the Fourth Proportional to 22,821.20, 34,231.80 and 8,025.20

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Solution

The fourth proportional to 22,821.20, 34,231.80 and 8,025.20 is: 12,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.20 : 34,231.80 = 8,025.20 : x
  2. Step 2: Convert to fraction form
    22,821.20/34,231.80 = 8,025.20/x
  3. Step 3: Cross multiply
    22,821.20x = 34,231.80 × 8,025.20
  4. Step 4: Simplify right side
    22,821.20x = 274,717,041.36
  5. Step 5: Solve for x
    x = 274,717,041.36/22,821.20
  6. Step 6: Final answer
    x = 12,037.80

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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.