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Finding the Fourth Proportional to 27,798.57, 41,697.24 and 8,076.29

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Solution

The fourth proportional to 27,798.57, 41,697.24 and 8,076.29 is: 12,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,798.57 : 41,697.24 = 8,076.29 : x
  2. Step 2: Convert to fraction form
    27,798.57/41,697.24 = 8,076.29/x
  3. Step 3: Cross multiply
    27,798.57x = 41,697.24 × 8,076.29
  4. Step 4: Simplify right side
    27,798.57x = 336,758,793.95
  5. Step 5: Solve for x
    x = 336,758,793.95/27,798.57
  6. Step 6: Final answer
    x = 12,114.25

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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.