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Finding the Fourth Proportional to 12,923.36, 17,834.87 and 7,257.81

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Solution

The fourth proportional to 12,923.36, 17,834.87 and 7,257.81 is: 10,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.36 : 17,834.87 = 7,257.81 : x
  2. Step 2: Convert to fraction form
    12,923.36/17,834.87 = 7,257.81/x
  3. Step 3: Cross multiply
    12,923.36x = 17,834.87 × 7,257.81
  4. Step 4: Simplify right side
    12,923.36x = 129,442,115.98
  5. Step 5: Solve for x
    x = 129,442,115.98/12,923.36
  6. Step 6: Final answer
    x = 10,016.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.