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Finding the Fourth Proportional to 27,468.50, 41,200.68 and 8,747.78

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Solution

The fourth proportional to 27,468.50, 41,200.68 and 8,747.78 is: 13,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.50 : 41,200.68 = 8,747.78 : x
  2. Step 2: Convert to fraction form
    27,468.50/41,200.68 = 8,747.78/x
  3. Step 3: Cross multiply
    27,468.50x = 41,200.68 × 8,747.78
  4. Step 4: Simplify right side
    27,468.50x = 360,414,484.49
  5. Step 5: Solve for x
    x = 360,414,484.49/27,468.50
  6. Step 6: Final answer
    x = 13,121.01

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