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Finding the Fourth Proportional to 18,284.21, 27,407.85 and 7,198.68

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Solution

The fourth proportional to 18,284.21, 27,407.85 and 7,198.68 is: 10,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.21 : 27,407.85 = 7,198.68 : x
  2. Step 2: Convert to fraction form
    18,284.21/27,407.85 = 7,198.68/x
  3. Step 3: Cross multiply
    18,284.21x = 27,407.85 × 7,198.68
  4. Step 4: Simplify right side
    18,284.21x = 197,300,341.64
  5. Step 5: Solve for x
    x = 197,300,341.64/18,284.21
  6. Step 6: Final answer
    x = 10,790.75

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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.