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Finding the Fourth Proportional to 22,219.38, 30,662.73 and 12,147.86

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Solution

The fourth proportional to 22,219.38, 30,662.73 and 12,147.86 is: 16,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,219.38 : 30,662.73 = 12,147.86 : x
  2. Step 2: Convert to fraction form
    22,219.38/30,662.73 = 12,147.86/x
  3. Step 3: Cross multiply
    22,219.38x = 30,662.73 × 12,147.86
  4. Step 4: Simplify right side
    22,219.38x = 372,486,551.26
  5. Step 5: Solve for x
    x = 372,486,551.26/22,219.38
  6. Step 6: Final answer
    x = 16,764.04

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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.