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Finding the Fourth Proportional to 20,147.28, 27,807.76 and 11,197.92

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Solution

The fourth proportional to 20,147.28, 27,807.76 and 11,197.92 is: 15,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147.28 : 27,807.76 = 11,197.92 : x
  2. Step 2: Convert to fraction form
    20,147.28/27,807.76 = 11,197.92/x
  3. Step 3: Cross multiply
    20,147.28x = 27,807.76 × 11,197.92
  4. Step 4: Simplify right side
    20,147.28x = 311,389,071.86
  5. Step 5: Solve for x
    x = 311,389,071.86/20,147.28
  6. Step 6: Final answer
    x = 15,455.64

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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.