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Finding the Fourth Proportional to 27,194.08, 40,786.50 and 7,468

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Solution

The fourth proportional to 27,194.08, 40,786.50 and 7,468 is: 11,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194.08 : 40,786.50 = 7,468 : x
  2. Step 2: Convert to fraction form
    27,194.08/40,786.50 = 7,468/x
  3. Step 3: Cross multiply
    27,194.08x = 40,786.50 × 7,468
  4. Step 4: Simplify right side
    27,194.08x = 304,593,582
  5. Step 5: Solve for x
    x = 304,593,582/27,194.08
  6. Step 6: Final answer
    x = 11,200.73

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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.