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Finding the Fourth Proportional to 20,188.64, 27,857.56 and 11,234.92

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Solution

The fourth proportional to 20,188.64, 27,857.56 and 11,234.92 is: 15,502.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.64 : 27,857.56 = 11,234.92 : x
  2. Step 2: Convert to fraction form
    20,188.64/27,857.56 = 11,234.92/x
  3. Step 3: Cross multiply
    20,188.64x = 27,857.56 × 11,234.92
  4. Step 4: Simplify right side
    20,188.64x = 312,977,458.00
  5. Step 5: Solve for x
    x = 312,977,458.00/20,188.64
  6. Step 6: Final answer
    x = 15,502.65

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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.