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Finding the Fourth Proportional to 18,296.07, 27,455.64 and 9,537.13

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Solution

The fourth proportional to 18,296.07, 27,455.64 and 9,537.13 is: 14,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,296.07 : 27,455.64 = 9,537.13 : x
  2. Step 2: Convert to fraction form
    18,296.07/27,455.64 = 9,537.13/x
  3. Step 3: Cross multiply
    18,296.07x = 27,455.64 × 9,537.13
  4. Step 4: Simplify right side
    18,296.07x = 261,848,007.91
  5. Step 5: Solve for x
    x = 261,848,007.91/18,296.07
  6. Step 6: Final answer
    x = 14,311.71

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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.