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Finding the Fourth Proportional to 27,196.50, 40,794.75 and 9,667.02

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Solution

The fourth proportional to 27,196.50, 40,794.75 and 9,667.02 is: 14,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.50 : 40,794.75 = 9,667.02 : x
  2. Step 2: Convert to fraction form
    27,196.50/40,794.75 = 9,667.02/x
  3. Step 3: Cross multiply
    27,196.50x = 40,794.75 × 9,667.02
  4. Step 4: Simplify right side
    27,196.50x = 394,363,664.15
  5. Step 5: Solve for x
    x = 394,363,664.15/27,196.50
  6. Step 6: Final answer
    x = 14,500.53

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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.