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Finding the Fourth Proportional to 24,325.31, 33,568.93 and 13,147.31

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Solution

The fourth proportional to 24,325.31, 33,568.93 and 13,147.31 is: 18,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,325.31 : 33,568.93 = 13,147.31 : x
  2. Step 2: Convert to fraction form
    24,325.31/33,568.93 = 13,147.31/x
  3. Step 3: Cross multiply
    24,325.31x = 33,568.93 × 13,147.31
  4. Step 4: Simplify right side
    24,325.31x = 441,341,229.43
  5. Step 5: Solve for x
    x = 441,341,229.43/24,325.31
  6. Step 6: Final answer
    x = 18,143.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.