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Finding the Fourth Proportional to 22,523.20, 33,784.80 and 7,730.80

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Solution

The fourth proportional to 22,523.20, 33,784.80 and 7,730.80 is: 11,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.20 : 33,784.80 = 7,730.80 : x
  2. Step 2: Convert to fraction form
    22,523.20/33,784.80 = 7,730.80/x
  3. Step 3: Cross multiply
    22,523.20x = 33,784.80 × 7,730.80
  4. Step 4: Simplify right side
    22,523.20x = 261,183,531.84
  5. Step 5: Solve for x
    x = 261,183,531.84/22,523.20
  6. Step 6: Final answer
    x = 11,596.20

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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.