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Finding the Fourth Proportional to 27,177, 40,771.35 and 8,456.64

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Solution

The fourth proportional to 27,177, 40,771.35 and 8,456.64 is: 12,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177 : 40,771.35 = 8,456.64 : x
  2. Step 2: Convert to fraction form
    27,177/40,771.35 = 8,456.64/x
  3. Step 3: Cross multiply
    27,177x = 40,771.35 × 8,456.64
  4. Step 4: Simplify right side
    27,177x = 344,788,629.26
  5. Step 5: Solve for x
    x = 344,788,629.26/27,177
  6. Step 6: Final answer
    x = 12,686.78

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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.