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Finding the Fourth Proportional to 15,983.21, 22,057.11 and 8,908.86

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Solution

The fourth proportional to 15,983.21, 22,057.11 and 8,908.86 is: 12,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.21 : 22,057.11 = 8,908.86 : x
  2. Step 2: Convert to fraction form
    15,983.21/22,057.11 = 8,908.86/x
  3. Step 3: Cross multiply
    15,983.21x = 22,057.11 × 8,908.86
  4. Step 4: Simplify right side
    15,983.21x = 196,503,704.99
  5. Step 5: Solve for x
    x = 196,503,704.99/15,983.21
  6. Step 6: Final answer
    x = 12,294.39

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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.