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Finding the Fourth Proportional to 16,090.67, 22,205.99 and 8,920.43

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Solution

The fourth proportional to 16,090.67, 22,205.99 and 8,920.43 is: 12,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.67 : 22,205.99 = 8,920.43 : x
  2. Step 2: Convert to fraction form
    16,090.67/22,205.99 = 8,920.43/x
  3. Step 3: Cross multiply
    16,090.67x = 22,205.99 × 8,920.43
  4. Step 4: Simplify right side
    16,090.67x = 198,086,979.38
  5. Step 5: Solve for x
    x = 198,086,979.38/16,090.67
  6. Step 6: Final answer
    x = 12,310.67

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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.