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Finding the Fourth Proportional to 17,446.14, 24,078.76 and 10,276.44

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Solution

The fourth proportional to 17,446.14, 24,078.76 and 10,276.44 is: 14,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.14 : 24,078.76 = 10,276.44 : x
  2. Step 2: Convert to fraction form
    17,446.14/24,078.76 = 10,276.44/x
  3. Step 3: Cross multiply
    17,446.14x = 24,078.76 × 10,276.44
  4. Step 4: Simplify right side
    17,446.14x = 247,443,932.41
  5. Step 5: Solve for x
    x = 247,443,932.41/17,446.14
  6. Step 6: Final answer
    x = 14,183.31

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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.