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Finding the Fourth Proportional to 20,049.72, 27,668.55 and 10,975.20

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Solution

The fourth proportional to 20,049.72, 27,668.55 and 10,975.20 is: 15,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.72 : 27,668.55 = 10,975.20 : x
  2. Step 2: Convert to fraction form
    20,049.72/27,668.55 = 10,975.20/x
  3. Step 3: Cross multiply
    20,049.72x = 27,668.55 × 10,975.20
  4. Step 4: Simplify right side
    20,049.72x = 303,667,869.96
  5. Step 5: Solve for x
    x = 303,667,869.96/20,049.72
  6. Step 6: Final answer
    x = 15,145.74

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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.