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Finding the Fourth Proportional to 12,224.31, 18,333.53 and 5,644.17

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Solution

The fourth proportional to 12,224.31, 18,333.53 and 5,644.17 is: 8,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.31 : 18,333.53 = 5,644.17 : x
  2. Step 2: Convert to fraction form
    12,224.31/18,333.53 = 5,644.17/x
  3. Step 3: Cross multiply
    12,224.31x = 18,333.53 × 5,644.17
  4. Step 4: Simplify right side
    12,224.31x = 103,477,531.80
  5. Step 5: Solve for x
    x = 103,477,531.80/12,224.31
  6. Step 6: Final answer
    x = 8,464.90

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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.