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Finding the Fourth Proportional to 18,287.94, 27,411.20 and 8,406.82

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Solution

The fourth proportional to 18,287.94, 27,411.20 and 8,406.82 is: 12,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.94 : 27,411.20 = 8,406.82 : x
  2. Step 2: Convert to fraction form
    18,287.94/27,411.20 = 8,406.82/x
  3. Step 3: Cross multiply
    18,287.94x = 27,411.20 × 8,406.82
  4. Step 4: Simplify right side
    18,287.94x = 230,441,024.38
  5. Step 5: Solve for x
    x = 230,441,024.38/18,287.94
  6. Step 6: Final answer
    x = 12,600.71

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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.