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Finding the Fourth Proportional to 27,461.84, 41,192.76 and 6,685.16

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Solution

The fourth proportional to 27,461.84, 41,192.76 and 6,685.16 is: 10,027.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,461.84 : 41,192.76 = 6,685.16 : x
  2. Step 2: Convert to fraction form
    27,461.84/41,192.76 = 6,685.16/x
  3. Step 3: Cross multiply
    27,461.84x = 41,192.76 × 6,685.16
  4. Step 4: Simplify right side
    27,461.84x = 275,380,191.44
  5. Step 5: Solve for x
    x = 275,380,191.44/27,461.84
  6. Step 6: Final answer
    x = 10,027.74

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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.