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Finding the Fourth Proportional to 24,491, 33,794.88 and 13,880.54

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Solution

The fourth proportional to 24,491, 33,794.88 and 13,880.54 is: 19,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491 : 33,794.88 = 13,880.54 : x
  2. Step 2: Convert to fraction form
    24,491/33,794.88 = 13,880.54/x
  3. Step 3: Cross multiply
    24,491x = 33,794.88 × 13,880.54
  4. Step 4: Simplify right side
    24,491x = 469,091,183.64
  5. Step 5: Solve for x
    x = 469,091,183.64/24,491
  6. Step 6: Final answer
    x = 19,153.61

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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.