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Finding the Fourth Proportional to 24,479.89, 33,785.31 and 13,872.94

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Solution

The fourth proportional to 24,479.89, 33,785.31 and 13,872.94 is: 19,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,479.89 : 33,785.31 = 13,872.94 : x
  2. Step 2: Convert to fraction form
    24,479.89/33,785.31 = 13,872.94/x
  3. Step 3: Cross multiply
    24,479.89x = 33,785.31 × 13,872.94
  4. Step 4: Simplify right side
    24,479.89x = 468,701,578.51
  5. Step 5: Solve for x
    x = 468,701,578.51/24,479.89
  6. Step 6: Final answer
    x = 19,146.39

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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.