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Finding the Fourth Proportional to 27,096.08, 40,647.56 and 9,322.16

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Solution

The fourth proportional to 27,096.08, 40,647.56 and 9,322.16 is: 13,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,096.08 : 40,647.56 = 9,322.16 : x
  2. Step 2: Convert to fraction form
    27,096.08/40,647.56 = 9,322.16/x
  3. Step 3: Cross multiply
    27,096.08x = 40,647.56 × 9,322.16
  4. Step 4: Simplify right side
    27,096.08x = 378,923,057.93
  5. Step 5: Solve for x
    x = 378,923,057.93/27,096.08
  6. Step 6: Final answer
    x = 13,984.42

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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.