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Finding the Fourth Proportional to 17,667.52, 24,371.04 and 11,032

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Solution

The fourth proportional to 17,667.52, 24,371.04 and 11,032 is: 15,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.52 : 24,371.04 = 11,032 : x
  2. Step 2: Convert to fraction form
    17,667.52/24,371.04 = 11,032/x
  3. Step 3: Cross multiply
    17,667.52x = 24,371.04 × 11,032
  4. Step 4: Simplify right side
    17,667.52x = 268,861,313.28
  5. Step 5: Solve for x
    x = 268,861,313.28/17,667.52
  6. Step 6: Final answer
    x = 15,217.83

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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.