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Finding the Fourth Proportional to 16,243.20, 22,415.49 and 9,169.38

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Solution

The fourth proportional to 16,243.20, 22,415.49 and 9,169.38 is: 12,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.20 : 22,415.49 = 9,169.38 : x
  2. Step 2: Convert to fraction form
    16,243.20/22,415.49 = 9,169.38/x
  3. Step 3: Cross multiply
    16,243.20x = 22,415.49 × 9,169.38
  4. Step 4: Simplify right side
    16,243.20x = 205,536,145.70
  5. Step 5: Solve for x
    x = 205,536,145.70/16,243.20
  6. Step 6: Final answer
    x = 12,653.67

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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.