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Finding the Fourth Proportional to 24,757.75, 34,165.71 and 13,427.24

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Solution

The fourth proportional to 24,757.75, 34,165.71 and 13,427.24 is: 18,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757.75 : 34,165.71 = 13,427.24 : x
  2. Step 2: Convert to fraction form
    24,757.75/34,165.71 = 13,427.24/x
  3. Step 3: Cross multiply
    24,757.75x = 34,165.71 × 13,427.24
  4. Step 4: Simplify right side
    24,757.75x = 458,751,187.94
  5. Step 5: Solve for x
    x = 458,751,187.94/24,757.75
  6. Step 6: Final answer
    x = 18,529.60

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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.