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Finding the Fourth Proportional to 20,186.68, 27,857.46 and 11,234.74

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Solution

The fourth proportional to 20,186.68, 27,857.46 and 11,234.74 is: 15,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.68 : 27,857.46 = 11,234.74 : x
  2. Step 2: Convert to fraction form
    20,186.68/27,857.46 = 11,234.74/x
  3. Step 3: Cross multiply
    20,186.68x = 27,857.46 × 11,234.74
  4. Step 4: Simplify right side
    20,186.68x = 312,971,320.16
  5. Step 5: Solve for x
    x = 312,971,320.16/20,186.68
  6. Step 6: Final answer
    x = 15,503.85

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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.