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Finding the Fourth Proportional to 20,624.25, 30,922.49 and 9,524.82

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Solution

The fourth proportional to 20,624.25, 30,922.49 and 9,524.82 is: 14,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624.25 : 30,922.49 = 9,524.82 : x
  2. Step 2: Convert to fraction form
    20,624.25/30,922.49 = 9,524.82/x
  3. Step 3: Cross multiply
    20,624.25x = 30,922.49 × 9,524.82
  4. Step 4: Simplify right side
    20,624.25x = 294,531,103.58
  5. Step 5: Solve for x
    x = 294,531,103.58/20,624.25
  6. Step 6: Final answer
    x = 14,280.82

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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.