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Finding the Fourth Proportional to 27,872.24, 41,779.13 and 9,147.47

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Solution

The fourth proportional to 27,872.24, 41,779.13 and 9,147.47 is: 13,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.24 : 41,779.13 = 9,147.47 : x
  2. Step 2: Convert to fraction form
    27,872.24/41,779.13 = 9,147.47/x
  3. Step 3: Cross multiply
    27,872.24x = 41,779.13 × 9,147.47
  4. Step 4: Simplify right side
    27,872.24x = 382,173,083.67
  5. Step 5: Solve for x
    x = 382,173,083.67/27,872.24
  6. Step 6: Final answer
    x = 13,711.61

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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.