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Finding the Fourth Proportional to 17,667.62, 24,381.39 and 9,709.64

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Solution

The fourth proportional to 17,667.62, 24,381.39 and 9,709.64 is: 13,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.62 : 24,381.39 = 9,709.64 : x
  2. Step 2: Convert to fraction form
    17,667.62/24,381.39 = 9,709.64/x
  3. Step 3: Cross multiply
    17,667.62x = 24,381.39 × 9,709.64
  4. Step 4: Simplify right side
    17,667.62x = 236,734,519.60
  5. Step 5: Solve for x
    x = 236,734,519.60/17,667.62
  6. Step 6: Final answer
    x = 13,399.34

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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.