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Finding the Fourth Proportional to 24,530, 33,855.24 and 14,599.76

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Solution

The fourth proportional to 24,530, 33,855.24 and 14,599.76 is: 20,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530 : 33,855.24 = 14,599.76 : x
  2. Step 2: Convert to fraction form
    24,530/33,855.24 = 14,599.76/x
  3. Step 3: Cross multiply
    24,530x = 33,855.24 × 14,599.76
  4. Step 4: Simplify right side
    24,530x = 494,278,378.74
  5. Step 5: Solve for x
    x = 494,278,378.74/24,530
  6. Step 6: Final answer
    x = 20,149.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.