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Finding the Fourth Proportional to 18,137.34, 27,189.59 and 6,447.82

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Solution

The fourth proportional to 18,137.34, 27,189.59 and 6,447.82 is: 9,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.34 : 27,189.59 = 6,447.82 : x
  2. Step 2: Convert to fraction form
    18,137.34/27,189.59 = 6,447.82/x
  3. Step 3: Cross multiply
    18,137.34x = 27,189.59 × 6,447.82
  4. Step 4: Simplify right side
    18,137.34x = 175,313,582.19
  5. Step 5: Solve for x
    x = 175,313,582.19/18,137.34
  6. Step 6: Final answer
    x = 9,665.89

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