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Finding the Fourth Proportional to 24,546.74, 33,872.87 and 14,474.70

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Solution

The fourth proportional to 24,546.74, 33,872.87 and 14,474.70 is: 19,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,546.74 : 33,872.87 = 14,474.70 : x
  2. Step 2: Convert to fraction form
    24,546.74/33,872.87 = 14,474.70/x
  3. Step 3: Cross multiply
    24,546.74x = 33,872.87 × 14,474.70
  4. Step 4: Simplify right side
    24,546.74x = 490,299,667.58
  5. Step 5: Solve for x
    x = 490,299,667.58/24,546.74
  6. Step 6: Final answer
    x = 19,974.13

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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.