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Finding the Fourth Proportional to 18,137.32, 27,189.54 and 6,447.78

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Solution

The fourth proportional to 18,137.32, 27,189.54 and 6,447.78 is: 9,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.32 : 27,189.54 = 6,447.78 : x
  2. Step 2: Convert to fraction form
    18,137.32/27,189.54 = 6,447.78/x
  3. Step 3: Cross multiply
    18,137.32x = 27,189.54 × 6,447.78
  4. Step 4: Simplify right side
    18,137.32x = 175,312,172.22
  5. Step 5: Solve for x
    x = 175,312,172.22/18,137.32
  6. Step 6: Final answer
    x = 9,665.83

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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.