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Finding the Fourth Proportional to 22,148.80, 33,223.20 and 8,303.20

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Solution

The fourth proportional to 22,148.80, 33,223.20 and 8,303.20 is: 12,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.80 : 33,223.20 = 8,303.20 : x
  2. Step 2: Convert to fraction form
    22,148.80/33,223.20 = 8,303.20/x
  3. Step 3: Cross multiply
    22,148.80x = 33,223.20 × 8,303.20
  4. Step 4: Simplify right side
    22,148.80x = 275,858,874.24
  5. Step 5: Solve for x
    x = 275,858,874.24/22,148.80
  6. Step 6: Final answer
    x = 12,454.80

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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.