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Finding the Fourth Proportional to 24,262.68, 33,481.22 and 13,653

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Solution

The fourth proportional to 24,262.68, 33,481.22 and 13,653 is: 18,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,262.68 : 33,481.22 = 13,653 : x
  2. Step 2: Convert to fraction form
    24,262.68/33,481.22 = 13,653/x
  3. Step 3: Cross multiply
    24,262.68x = 33,481.22 × 13,653
  4. Step 4: Simplify right side
    24,262.68x = 457,119,028.40
  5. Step 5: Solve for x
    x = 457,119,028.40/24,262.68
  6. Step 6: Final answer
    x = 18,840.42

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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.