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Finding the Fourth Proportional to 27,797.40, 41,698.26 and 8,076.24

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Solution

The fourth proportional to 27,797.40, 41,698.26 and 8,076.24 is: 12,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.40 : 41,698.26 = 8,076.24 : x
  2. Step 2: Convert to fraction form
    27,797.40/41,698.26 = 8,076.24/x
  3. Step 3: Cross multiply
    27,797.40x = 41,698.26 × 8,076.24
  4. Step 4: Simplify right side
    27,797.40x = 336,765,155.34
  5. Step 5: Solve for x
    x = 336,765,155.34/27,797.40
  6. Step 6: Final answer
    x = 12,114.99

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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.