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Finding the Fourth Proportional to 18,201.72, 27,305.46 and 6,514.68

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Solution

The fourth proportional to 18,201.72, 27,305.46 and 6,514.68 is: 9,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,201.72 : 27,305.46 = 6,514.68 : x
  2. Step 2: Convert to fraction form
    18,201.72/27,305.46 = 6,514.68/x
  3. Step 3: Cross multiply
    18,201.72x = 27,305.46 × 6,514.68
  4. Step 4: Simplify right side
    18,201.72x = 177,886,334.15
  5. Step 5: Solve for x
    x = 177,886,334.15/18,201.72
  6. Step 6: Final answer
    x = 9,773.05

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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.