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Finding the Fourth Proportional to 17,676.82, 24,392.54 and 10,121.42

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Solution

The fourth proportional to 17,676.82, 24,392.54 and 10,121.42 is: 13,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.82 : 24,392.54 = 10,121.42 : x
  2. Step 2: Convert to fraction form
    17,676.82/24,392.54 = 10,121.42/x
  3. Step 3: Cross multiply
    17,676.82x = 24,392.54 × 10,121.42
  4. Step 4: Simplify right side
    17,676.82x = 246,887,142.21
  5. Step 5: Solve for x
    x = 246,887,142.21/17,676.82
  6. Step 6: Final answer
    x = 13,966.72

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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.