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Finding the Fourth Proportional to 27,644.76, 41,474.34 and 7,924.86

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Solution

The fourth proportional to 27,644.76, 41,474.34 and 7,924.86 is: 11,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.76 : 41,474.34 = 7,924.86 : x
  2. Step 2: Convert to fraction form
    27,644.76/41,474.34 = 7,924.86/x
  3. Step 3: Cross multiply
    27,644.76x = 41,474.34 × 7,924.86
  4. Step 4: Simplify right side
    27,644.76x = 328,678,338.09
  5. Step 5: Solve for x
    x = 328,678,338.09/27,644.76
  6. Step 6: Final answer
    x = 11,889.35

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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.