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Finding the Fourth Proportional to 27,728.33, 41,586.38 and 8,002.60

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Solution

The fourth proportional to 27,728.33, 41,586.38 and 8,002.60 is: 12,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.33 : 41,586.38 = 8,002.60 : x
  2. Step 2: Convert to fraction form
    27,728.33/41,586.38 = 8,002.60/x
  3. Step 3: Cross multiply
    27,728.33x = 41,586.38 × 8,002.60
  4. Step 4: Simplify right side
    27,728.33x = 332,799,164.59
  5. Step 5: Solve for x
    x = 332,799,164.59/27,728.33
  6. Step 6: Final answer
    x = 12,002.14

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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.