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Finding the Fourth Proportional to 12,546.67, 18,827.30 and 5,621.17

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Solution

The fourth proportional to 12,546.67, 18,827.30 and 5,621.17 is: 8,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.67 : 18,827.30 = 5,621.17 : x
  2. Step 2: Convert to fraction form
    12,546.67/18,827.30 = 5,621.17/x
  3. Step 3: Cross multiply
    12,546.67x = 18,827.30 × 5,621.17
  4. Step 4: Simplify right side
    12,546.67x = 105,831,453.94
  5. Step 5: Solve for x
    x = 105,831,453.94/12,546.67
  6. Step 6: Final answer
    x = 8,435.02

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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.