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Finding the Fourth Proportional to 24,589.76, 36,880.24 and 7,949.12

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Solution

The fourth proportional to 24,589.76, 36,880.24 and 7,949.12 is: 11,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.76 : 36,880.24 = 7,949.12 : x
  2. Step 2: Convert to fraction form
    24,589.76/36,880.24 = 7,949.12/x
  3. Step 3: Cross multiply
    24,589.76x = 36,880.24 × 7,949.12
  4. Step 4: Simplify right side
    24,589.76x = 293,165,453.39
  5. Step 5: Solve for x
    x = 293,165,453.39/24,589.76
  6. Step 6: Final answer
    x = 11,922.26

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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.