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Finding the Fourth Proportional to 27,181.17, 40,777.43 and 8,206.18

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Solution

The fourth proportional to 27,181.17, 40,777.43 and 8,206.18 is: 12,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.17 : 40,777.43 = 8,206.18 : x
  2. Step 2: Convert to fraction form
    27,181.17/40,777.43 = 8,206.18/x
  3. Step 3: Cross multiply
    27,181.17x = 40,777.43 × 8,206.18
  4. Step 4: Simplify right side
    27,181.17x = 334,626,787.54
  5. Step 5: Solve for x
    x = 334,626,787.54/27,181.17
  6. Step 6: Final answer
    x = 12,310.98

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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.