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Finding the Fourth Proportional to 18,097.64, 27,147.90 and 7,709.48

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Solution

The fourth proportional to 18,097.64, 27,147.90 and 7,709.48 is: 11,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.64 : 27,147.90 = 7,709.48 : x
  2. Step 2: Convert to fraction form
    18,097.64/27,147.90 = 7,709.48/x
  3. Step 3: Cross multiply
    18,097.64x = 27,147.90 × 7,709.48
  4. Step 4: Simplify right side
    18,097.64x = 209,296,192.09
  5. Step 5: Solve for x
    x = 209,296,192.09/18,097.64
  6. Step 6: Final answer
    x = 11,564.83

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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.