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Finding the Fourth Proportional to 13,998, 20,996.87 and 5,676.04

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Solution

The fourth proportional to 13,998, 20,996.87 and 5,676.04 is: 8,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998 : 20,996.87 = 5,676.04 : x
  2. Step 2: Convert to fraction form
    13,998/20,996.87 = 5,676.04/x
  3. Step 3: Cross multiply
    13,998x = 20,996.87 × 5,676.04
  4. Step 4: Simplify right side
    13,998x = 119,179,035.69
  5. Step 5: Solve for x
    x = 119,179,035.69/13,998
  6. Step 6: Final answer
    x = 8,514.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.