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Finding the Fourth Proportional to 18,546.38, 27,814.06 and 9,776.52

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Solution

The fourth proportional to 18,546.38, 27,814.06 and 9,776.52 is: 14,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.38 : 27,814.06 = 9,776.52 : x
  2. Step 2: Convert to fraction form
    18,546.38/27,814.06 = 9,776.52/x
  3. Step 3: Cross multiply
    18,546.38x = 27,814.06 × 9,776.52
  4. Step 4: Simplify right side
    18,546.38x = 271,924,713.87
  5. Step 5: Solve for x
    x = 271,924,713.87/18,546.38
  6. Step 6: Final answer
    x = 14,661.88

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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.