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Finding the Fourth Proportional to 18,537.98, 27,790.02 and 8,001.41

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Solution

The fourth proportional to 18,537.98, 27,790.02 and 8,001.41 is: 11,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.98 : 27,790.02 = 8,001.41 : x
  2. Step 2: Convert to fraction form
    18,537.98/27,790.02 = 8,001.41/x
  3. Step 3: Cross multiply
    18,537.98x = 27,790.02 × 8,001.41
  4. Step 4: Simplify right side
    18,537.98x = 222,359,204.98
  5. Step 5: Solve for x
    x = 222,359,204.98/18,537.98
  6. Step 6: Final answer
    x = 11,994.79

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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.