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Finding the Fourth Proportional to 20,894.41, 28,836.09 and 11,464.78

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Solution

The fourth proportional to 20,894.41, 28,836.09 and 11,464.78 is: 15,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.41 : 28,836.09 = 11,464.78 : x
  2. Step 2: Convert to fraction form
    20,894.41/28,836.09 = 11,464.78/x
  3. Step 3: Cross multiply
    20,894.41x = 28,836.09 × 11,464.78
  4. Step 4: Simplify right side
    20,894.41x = 330,599,427.91
  5. Step 5: Solve for x
    x = 330,599,427.91/20,894.41
  6. Step 6: Final answer
    x = 15,822.39

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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.