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Finding the Fourth Proportional to 27,725.84, 41,576.40 and 7,999.70

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Solution

The fourth proportional to 27,725.84, 41,576.40 and 7,999.70 is: 11,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725.84 : 41,576.40 = 7,999.70 : x
  2. Step 2: Convert to fraction form
    27,725.84/41,576.40 = 7,999.70/x
  3. Step 3: Cross multiply
    27,725.84x = 41,576.40 × 7,999.70
  4. Step 4: Simplify right side
    27,725.84x = 332,598,831.02
  5. Step 5: Solve for x
    x = 332,598,831.02/27,725.84
  6. Step 6: Final answer
    x = 11,995.99

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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.