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Finding the Fourth Proportional to 22,314.86, 30,794.38 and 12,243.05

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Solution

The fourth proportional to 22,314.86, 30,794.38 and 12,243.05 is: 16,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.86 : 30,794.38 = 12,243.05 : x
  2. Step 2: Convert to fraction form
    22,314.86/30,794.38 = 12,243.05/x
  3. Step 3: Cross multiply
    22,314.86x = 30,794.38 × 12,243.05
  4. Step 4: Simplify right side
    22,314.86x = 377,017,134.06
  5. Step 5: Solve for x
    x = 377,017,134.06/22,314.86
  6. Step 6: Final answer
    x = 16,895.34

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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.