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Finding the Fourth Proportional to 11,682.40, 17,504.16 and 8,212.36

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Solution

The fourth proportional to 11,682.40, 17,504.16 and 8,212.36 is: 12,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.40 : 17,504.16 = 8,212.36 : x
  2. Step 2: Convert to fraction form
    11,682.40/17,504.16 = 8,212.36/x
  3. Step 3: Cross multiply
    11,682.40x = 17,504.16 × 8,212.36
  4. Step 4: Simplify right side
    11,682.40x = 143,750,463.42
  5. Step 5: Solve for x
    x = 143,750,463.42/11,682.40
  6. Step 6: Final answer
    x = 12,304.87

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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.