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Finding the Fourth Proportional to 17,662.82, 24,373.29 and 10,107.42

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Solution

The fourth proportional to 17,662.82, 24,373.29 and 10,107.42 is: 13,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.82 : 24,373.29 = 10,107.42 : x
  2. Step 2: Convert to fraction form
    17,662.82/24,373.29 = 10,107.42/x
  3. Step 3: Cross multiply
    17,662.82x = 24,373.29 × 10,107.42
  4. Step 4: Simplify right side
    17,662.82x = 246,351,078.81
  5. Step 5: Solve for x
    x = 246,351,078.81/17,662.82
  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.