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Finding the Fourth Proportional to 20,230.77, 27,923.04 and 13,144.89

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Solution

The fourth proportional to 20,230.77, 27,923.04 and 13,144.89 is: 18,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.77 : 27,923.04 = 13,144.89 : x
  2. Step 2: Convert to fraction form
    20,230.77/27,923.04 = 13,144.89/x
  3. Step 3: Cross multiply
    20,230.77x = 27,923.04 × 13,144.89
  4. Step 4: Simplify right side
    20,230.77x = 367,045,289.27
  5. Step 5: Solve for x
    x = 367,045,289.27/20,230.77
  6. Step 6: Final answer
    x = 18,142.92

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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.