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Finding the Fourth Proportional to 12,406.36, 17,120.82 and 6,817.24

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Solution

The fourth proportional to 12,406.36, 17,120.82 and 6,817.24 is: 9,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.36 : 17,120.82 = 6,817.24 : x
  2. Step 2: Convert to fraction form
    12,406.36/17,120.82 = 6,817.24/x
  3. Step 3: Cross multiply
    12,406.36x = 17,120.82 × 6,817.24
  4. Step 4: Simplify right side
    12,406.36x = 116,716,738.94
  5. Step 5: Solve for x
    x = 116,716,738.94/12,406.36
  6. Step 6: Final answer
    x = 9,407.81

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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.