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Finding the Fourth Proportional to 12,161.21, 16,765.81 and 7,682.72

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Solution

The fourth proportional to 12,161.21, 16,765.81 and 7,682.72 is: 10,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.21 : 16,765.81 = 7,682.72 : x
  2. Step 2: Convert to fraction form
    12,161.21/16,765.81 = 7,682.72/x
  3. Step 3: Cross multiply
    12,161.21x = 16,765.81 × 7,682.72
  4. Step 4: Simplify right side
    12,161.21x = 128,806,920.77
  5. Step 5: Solve for x
    x = 128,806,920.77/12,161.21
  6. Step 6: Final answer
    x = 10,591.62

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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.