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Finding the Fourth Proportional to 27,181.48, 40,778.08 and 8,461.16

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Solution

The fourth proportional to 27,181.48, 40,778.08 and 8,461.16 is: 12,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.48 : 40,778.08 = 8,461.16 : x
  2. Step 2: Convert to fraction form
    27,181.48/40,778.08 = 8,461.16/x
  3. Step 3: Cross multiply
    27,181.48x = 40,778.08 × 8,461.16
  4. Step 4: Simplify right side
    27,181.48x = 345,029,859.37
  5. Step 5: Solve for x
    x = 345,029,859.37/27,181.48
  6. Step 6: Final answer
    x = 12,693.56

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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.