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Finding the Fourth Proportional to 18,206.81, 27,320.83 and 7,676.18

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Solution

The fourth proportional to 18,206.81, 27,320.83 and 7,676.18 is: 11,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,206.81 : 27,320.83 = 7,676.18 : x
  2. Step 2: Convert to fraction form
    18,206.81/27,320.83 = 7,676.18/x
  3. Step 3: Cross multiply
    18,206.81x = 27,320.83 × 7,676.18
  4. Step 4: Simplify right side
    18,206.81x = 209,719,453.03
  5. Step 5: Solve for x
    x = 209,719,453.03/18,206.81
  6. Step 6: Final answer
    x = 11,518.74

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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.