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Finding the Fourth Proportional to 17,667.57, 24,380.25 and 10,864.18

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Solution

The fourth proportional to 17,667.57, 24,380.25 and 10,864.18 is: 14,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.57 : 24,380.25 = 10,864.18 : x
  2. Step 2: Convert to fraction form
    17,667.57/24,380.25 = 10,864.18/x
  3. Step 3: Cross multiply
    17,667.57x = 24,380.25 × 10,864.18
  4. Step 4: Simplify right side
    17,667.57x = 264,871,424.45
  5. Step 5: Solve for x
    x = 264,871,424.45/17,667.57
  6. Step 6: Final answer
    x = 14,991.96

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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.