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Finding the Fourth Proportional to 17,675.82, 24,391.16 and 10,120.42

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Solution

The fourth proportional to 17,675.82, 24,391.16 and 10,120.42 is: 13,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.82 : 24,391.16 = 10,120.42 : x
  2. Step 2: Convert to fraction form
    17,675.82/24,391.16 = 10,120.42/x
  3. Step 3: Cross multiply
    17,675.82x = 24,391.16 × 10,120.42
  4. Step 4: Simplify right side
    17,675.82x = 246,848,783.49
  5. Step 5: Solve for x
    x = 246,848,783.49/17,675.82
  6. Step 6: Final answer
    x = 13,965.34

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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.