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Finding the Fourth Proportional to 27,885.72, 41,833.70 and 9,166.80

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Solution

The fourth proportional to 27,885.72, 41,833.70 and 9,166.80 is: 13,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,885.72 : 41,833.70 = 9,166.80 : x
  2. Step 2: Convert to fraction form
    27,885.72/41,833.70 = 9,166.80/x
  3. Step 3: Cross multiply
    27,885.72x = 41,833.70 × 9,166.80
  4. Step 4: Simplify right side
    27,885.72x = 383,481,161.16
  5. Step 5: Solve for x
    x = 383,481,161.16/27,885.72
  6. Step 6: Final answer
    x = 13,751.88

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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.