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Finding the Fourth Proportional to 24,213.82, 33,411.96 and 14,134.97

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Solution

The fourth proportional to 24,213.82, 33,411.96 and 14,134.97 is: 19,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.82 : 33,411.96 = 14,134.97 : x
  2. Step 2: Convert to fraction form
    24,213.82/33,411.96 = 14,134.97/x
  3. Step 3: Cross multiply
    24,213.82x = 33,411.96 × 14,134.97
  4. Step 4: Simplify right side
    24,213.82x = 472,276,885.18
  5. Step 5: Solve for x
    x = 472,276,885.18/24,213.82
  6. Step 6: Final answer
    x = 19,504.44

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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.