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Finding the Fourth Proportional to 22,105.86, 30,505.76 and 12,169.86

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Solution

The fourth proportional to 22,105.86, 30,505.76 and 12,169.86 is: 16,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.86 : 30,505.76 = 12,169.86 : x
  2. Step 2: Convert to fraction form
    22,105.86/30,505.76 = 12,169.86/x
  3. Step 3: Cross multiply
    22,105.86x = 30,505.76 × 12,169.86
  4. Step 4: Simplify right side
    22,105.86x = 371,250,828.39
  5. Step 5: Solve for x
    x = 371,250,828.39/22,105.86
  6. Step 6: Final answer
    x = 16,794.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.