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Finding the Fourth Proportional to 36,563.38, 54,845.07 and 13,189.81

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Solution

The fourth proportional to 36,563.38, 54,845.07 and 13,189.81 is: 19,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563.38 : 54,845.07 = 13,189.81 : x
  2. Step 2: Convert to fraction form
    36,563.38/54,845.07 = 13,189.81/x
  3. Step 3: Cross multiply
    36,563.38x = 54,845.07 × 13,189.81
  4. Step 4: Simplify right side
    36,563.38x = 723,396,052.74
  5. Step 5: Solve for x
    x = 723,396,052.74/36,563.38
  6. Step 6: Final answer
    x = 19,784.72

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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.