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Finding the Fourth Proportional to 18,284.08, 27,405.38 and 8,402.94

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Solution

The fourth proportional to 18,284.08, 27,405.38 and 8,402.94 is: 12,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.08 : 27,405.38 = 8,402.94 : x
  2. Step 2: Convert to fraction form
    18,284.08/27,405.38 = 8,402.94/x
  3. Step 3: Cross multiply
    18,284.08x = 27,405.38 × 8,402.94
  4. Step 4: Simplify right side
    18,284.08x = 230,285,763.82
  5. Step 5: Solve for x
    x = 230,285,763.82/18,284.08
  6. Step 6: Final answer
    x = 12,594.88

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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.