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Finding the Fourth Proportional to 24,493.56, 33,801 and 13,315.56

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Solution

The fourth proportional to 24,493.56, 33,801 and 13,315.56 is: 18,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.56 : 33,801 = 13,315.56 : x
  2. Step 2: Convert to fraction form
    24,493.56/33,801 = 13,315.56/x
  3. Step 3: Cross multiply
    24,493.56x = 33,801 × 13,315.56
  4. Step 4: Simplify right side
    24,493.56x = 450,079,243.56
  5. Step 5: Solve for x
    x = 450,079,243.56/24,493.56
  6. Step 6: Final answer
    x = 18,375.41

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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.