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Finding the Fourth Proportional to 17,667.64, 24,381.41 and 9,709.69

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Solution

The fourth proportional to 17,667.64, 24,381.41 and 9,709.69 is: 13,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.64 : 24,381.41 = 9,709.69 : x
  2. Step 2: Convert to fraction form
    17,667.64/24,381.41 = 9,709.69/x
  3. Step 3: Cross multiply
    17,667.64x = 24,381.41 × 9,709.69
  4. Step 4: Simplify right side
    17,667.64x = 236,735,869.08
  5. Step 5: Solve for x
    x = 236,735,869.08/17,667.64
  6. Step 6: Final answer
    x = 13,399.41

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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.