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Finding the Fourth Proportional to 18,678.12, 27,999.90 and 8,284.20

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Solution

The fourth proportional to 18,678.12, 27,999.90 and 8,284.20 is: 12,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,678.12 : 27,999.90 = 8,284.20 : x
  2. Step 2: Convert to fraction form
    18,678.12/27,999.90 = 8,284.20/x
  3. Step 3: Cross multiply
    18,678.12x = 27,999.90 × 8,284.20
  4. Step 4: Simplify right side
    18,678.12x = 231,956,771.58
  5. Step 5: Solve for x
    x = 231,956,771.58/18,678.12
  6. Step 6: Final answer
    x = 12,418.64

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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.