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Finding the Fourth Proportional to 16,170.24, 22,314.90 and 9,096.67

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Solution

The fourth proportional to 16,170.24, 22,314.90 and 9,096.67 is: 12,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.24 : 22,314.90 = 9,096.67 : x
  2. Step 2: Convert to fraction form
    16,170.24/22,314.90 = 9,096.67/x
  3. Step 3: Cross multiply
    16,170.24x = 22,314.90 × 9,096.67
  4. Step 4: Simplify right side
    16,170.24x = 202,991,124.33
  5. Step 5: Solve for x
    x = 202,991,124.33/16,170.24
  6. Step 6: Final answer
    x = 12,553.38

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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.