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Finding the Fourth Proportional to 16,505.86, 22,778.68 and 11,801.38

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Solution

The fourth proportional to 16,505.86, 22,778.68 and 11,801.38 is: 16,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.86 : 22,778.68 = 11,801.38 : x
  2. Step 2: Convert to fraction form
    16,505.86/22,778.68 = 11,801.38/x
  3. Step 3: Cross multiply
    16,505.86x = 22,778.68 × 11,801.38
  4. Step 4: Simplify right side
    16,505.86x = 268,819,858.58
  5. Step 5: Solve for x
    x = 268,819,858.58/16,505.86
  6. Step 6: Final answer
    x = 16,286.33

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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.