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Finding the Fourth Proportional to 12,097.96, 18,139.38 and 6,896.68

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Solution

The fourth proportional to 12,097.96, 18,139.38 and 6,896.68 is: 10,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.96 : 18,139.38 = 6,896.68 : x
  2. Step 2: Convert to fraction form
    12,097.96/18,139.38 = 6,896.68/x
  3. Step 3: Cross multiply
    12,097.96x = 18,139.38 × 6,896.68
  4. Step 4: Simplify right side
    12,097.96x = 125,101,499.26
  5. Step 5: Solve for x
    x = 125,101,499.26/12,097.96
  6. Step 6: Final answer
    x = 10,340.71

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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.