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Finding the Fourth Proportional to 18,212.46, 27,322.33 and 5,734.41

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Solution

The fourth proportional to 18,212.46, 27,322.33 and 5,734.41 is: 8,602.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212.46 : 27,322.33 = 5,734.41 : x
  2. Step 2: Convert to fraction form
    18,212.46/27,322.33 = 5,734.41/x
  3. Step 3: Cross multiply
    18,212.46x = 27,322.33 × 5,734.41
  4. Step 4: Simplify right side
    18,212.46x = 156,677,442.38
  5. Step 5: Solve for x
    x = 156,677,442.38/18,212.46
  6. Step 6: Final answer
    x = 8,602.76

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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.