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Finding the Fourth Proportional to 27,405.76, 41,093.12 and 8,682.24

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Solution

The fourth proportional to 27,405.76, 41,093.12 and 8,682.24 is: 13,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.76 : 41,093.12 = 8,682.24 : x
  2. Step 2: Convert to fraction form
    27,405.76/41,093.12 = 8,682.24/x
  3. Step 3: Cross multiply
    27,405.76x = 41,093.12 × 8,682.24
  4. Step 4: Simplify right side
    27,405.76x = 356,780,330.19
  5. Step 5: Solve for x
    x = 356,780,330.19/27,405.76
  6. Step 6: Final answer
    x = 13,018.44

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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.