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Finding the Fourth Proportional to 24,414.80, 36,626.52 and 9,629.60

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Solution

The fourth proportional to 24,414.80, 36,626.52 and 9,629.60 is: 14,446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.80 : 36,626.52 = 9,629.60 : x
  2. Step 2: Convert to fraction form
    24,414.80/36,626.52 = 9,629.60/x
  3. Step 3: Cross multiply
    24,414.80x = 36,626.52 × 9,629.60
  4. Step 4: Simplify right side
    24,414.80x = 352,698,736.99
  5. Step 5: Solve for x
    x = 352,698,736.99/24,414.80
  6. Step 6: Final answer
    x = 14,446.10

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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.