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Finding the Fourth Proportional to 17,633, 24,333.54 and 10,181

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Solution

The fourth proportional to 17,633, 24,333.54 and 10,181 is: 14,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633 : 24,333.54 = 10,181 : x
  2. Step 2: Convert to fraction form
    17,633/24,333.54 = 10,181/x
  3. Step 3: Cross multiply
    17,633x = 24,333.54 × 10,181
  4. Step 4: Simplify right side
    17,633x = 247,739,770.74
  5. Step 5: Solve for x
    x = 247,739,770.74/17,633
  6. Step 6: Final answer
    x = 14,049.78

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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.