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Finding the Fourth Proportional to 27,624.94, 41,449.70 and 14,474.24

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Solution

The fourth proportional to 27,624.94, 41,449.70 and 14,474.24 is: 21,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.94 : 41,449.70 = 14,474.24 : x
  2. Step 2: Convert to fraction form
    27,624.94/41,449.70 = 14,474.24/x
  3. Step 3: Cross multiply
    27,624.94x = 41,449.70 × 14,474.24
  4. Step 4: Simplify right side
    27,624.94x = 599,952,734.67
  5. Step 5: Solve for x
    x = 599,952,734.67/27,624.94
  6. Step 6: Final answer
    x = 21,717.80

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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.