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Finding the Fourth Proportional to 12,546.34, 18,804.90 and 5,141.81

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Solution

The fourth proportional to 12,546.34, 18,804.90 and 5,141.81 is: 7,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.34 : 18,804.90 = 5,141.81 : x
  2. Step 2: Convert to fraction form
    12,546.34/18,804.90 = 5,141.81/x
  3. Step 3: Cross multiply
    12,546.34x = 18,804.90 × 5,141.81
  4. Step 4: Simplify right side
    12,546.34x = 96,691,222.87
  5. Step 5: Solve for x
    x = 96,691,222.87/12,546.34
  6. Step 6: Final answer
    x = 7,706.73

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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.