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Finding the Fourth Proportional to 24,203.82, 33,402.19 and 13,449.49

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Solution

The fourth proportional to 24,203.82, 33,402.19 and 13,449.49 is: 18,560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.82 : 33,402.19 = 13,449.49 : x
  2. Step 2: Convert to fraction form
    24,203.82/33,402.19 = 13,449.49/x
  3. Step 3: Cross multiply
    24,203.82x = 33,402.19 × 13,449.49
  4. Step 4: Simplify right side
    24,203.82x = 449,242,439.04
  5. Step 5: Solve for x
    x = 449,242,439.04/24,203.82
  6. Step 6: Final answer
    x = 18,560.81

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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.