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Finding the Fourth Proportional to 24,619.24, 33,974.34 and 13,441

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Solution

The fourth proportional to 24,619.24, 33,974.34 and 13,441 is: 18,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,619.24 : 33,974.34 = 13,441 : x
  2. Step 2: Convert to fraction form
    24,619.24/33,974.34 = 13,441/x
  3. Step 3: Cross multiply
    24,619.24x = 33,974.34 × 13,441
  4. Step 4: Simplify right side
    24,619.24x = 456,649,103.94
  5. Step 5: Solve for x
    x = 456,649,103.94/24,619.24
  6. Step 6: Final answer
    x = 18,548.46

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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.