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Finding the Fourth Proportional to 17,654.42, 24,367.30 and 10,105.10

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Solution

The fourth proportional to 17,654.42, 24,367.30 and 10,105.10 is: 13,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.42 : 24,367.30 = 10,105.10 : x
  2. Step 2: Convert to fraction form
    17,654.42/24,367.30 = 10,105.10/x
  3. Step 3: Cross multiply
    17,654.42x = 24,367.30 × 10,105.10
  4. Step 4: Simplify right side
    17,654.42x = 246,234,003.23
  5. Step 5: Solve for x
    x = 246,234,003.23/17,654.42
  6. Step 6: Final answer
    x = 13,947.44

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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.