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Finding the Fourth Proportional to 27,667, 41,501.22 and 9,199

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Solution

The fourth proportional to 27,667, 41,501.22 and 9,199 is: 13,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,667 : 41,501.22 = 9,199 : x
  2. Step 2: Convert to fraction form
    27,667/41,501.22 = 9,199/x
  3. Step 3: Cross multiply
    27,667x = 41,501.22 × 9,199
  4. Step 4: Simplify right side
    27,667x = 381,769,722.78
  5. Step 5: Solve for x
    x = 381,769,722.78/27,667
  6. Step 6: Final answer
    x = 13,798.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.