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Finding the Fourth Proportional to 22,134.24, 30,544.80 and 12,198.24

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Solution

The fourth proportional to 22,134.24, 30,544.80 and 12,198.24 is: 16,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134.24 : 30,544.80 = 12,198.24 : x
  2. Step 2: Convert to fraction form
    22,134.24/30,544.80 = 12,198.24/x
  3. Step 3: Cross multiply
    22,134.24x = 30,544.80 × 12,198.24
  4. Step 4: Simplify right side
    22,134.24x = 372,592,801.15
  5. Step 5: Solve for x
    x = 372,592,801.15/22,134.24
  6. Step 6: Final answer
    x = 16,833.32

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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.