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Finding the Fourth Proportional to 18,546.42, 27,811.17 and 8,011.47

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Solution

The fourth proportional to 18,546.42, 27,811.17 and 8,011.47 is: 12,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.42 : 27,811.17 = 8,011.47 : x
  2. Step 2: Convert to fraction form
    18,546.42/27,811.17 = 8,011.47/x
  3. Step 3: Cross multiply
    18,546.42x = 27,811.17 × 8,011.47
  4. Step 4: Simplify right side
    18,546.42x = 222,808,354.12
  5. Step 5: Solve for x
    x = 222,808,354.12/18,546.42
  6. Step 6: Final answer
    x = 12,013.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.