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Finding the Fourth Proportional to 12,399.70, 17,105.26 and 7,918.74

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Solution

The fourth proportional to 12,399.70, 17,105.26 and 7,918.74 is: 10,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.70 : 17,105.26 = 7,918.74 : x
  2. Step 2: Convert to fraction form
    12,399.70/17,105.26 = 7,918.74/x
  3. Step 3: Cross multiply
    12,399.70x = 17,105.26 × 7,918.74
  4. Step 4: Simplify right side
    12,399.70x = 135,452,106.57
  5. Step 5: Solve for x
    x = 135,452,106.57/12,399.70
  6. Step 6: Final answer
    x = 10,923.82

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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.