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Finding the Fourth Proportional to 18,189.56, 27,284.67 and 5,709.30

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Solution

The fourth proportional to 18,189.56, 27,284.67 and 5,709.30 is: 8,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,189.56 : 27,284.67 = 5,709.30 : x
  2. Step 2: Convert to fraction form
    18,189.56/27,284.67 = 5,709.30/x
  3. Step 3: Cross multiply
    18,189.56x = 27,284.67 × 5,709.30
  4. Step 4: Simplify right side
    18,189.56x = 155,776,366.43
  5. Step 5: Solve for x
    x = 155,776,366.43/18,189.56
  6. Step 6: Final answer
    x = 8,564.06

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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.