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Finding the Fourth Proportional to 27,817.40, 41,732.93 and 8,096.13

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Solution

The fourth proportional to 27,817.40, 41,732.93 and 8,096.13 is: 12,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.40 : 41,732.93 = 8,096.13 : x
  2. Step 2: Convert to fraction form
    27,817.40/41,732.93 = 8,096.13/x
  3. Step 3: Cross multiply
    27,817.40x = 41,732.93 × 8,096.13
  4. Step 4: Simplify right side
    27,817.40x = 337,875,186.08
  5. Step 5: Solve for x
    x = 337,875,186.08/27,817.40
  6. Step 6: Final answer
    x = 12,146.18

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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.