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Finding the Fourth Proportional to 18,286.56, 27,423.36 and 7,892.64

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Solution

The fourth proportional to 18,286.56, 27,423.36 and 7,892.64 is: 11,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,286.56 : 27,423.36 = 7,892.64 : x
  2. Step 2: Convert to fraction form
    18,286.56/27,423.36 = 7,892.64/x
  3. Step 3: Cross multiply
    18,286.56x = 27,423.36 × 7,892.64
  4. Step 4: Simplify right side
    18,286.56x = 216,442,708.07
  5. Step 5: Solve for x
    x = 216,442,708.07/18,286.56
  6. Step 6: Final answer
    x = 11,836.16

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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.