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Finding the Fourth Proportional to 27,449.26, 41,149.26 and 9,914.98

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Solution

The fourth proportional to 27,449.26, 41,149.26 and 9,914.98 is: 14,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,449.26 : 41,149.26 = 9,914.98 : x
  2. Step 2: Convert to fraction form
    27,449.26/41,149.26 = 9,914.98/x
  3. Step 3: Cross multiply
    27,449.26x = 41,149.26 × 9,914.98
  4. Step 4: Simplify right side
    27,449.26x = 407,994,089.91
  5. Step 5: Solve for x
    x = 407,994,089.91/27,449.26
  6. Step 6: Final answer
    x = 14,863.57

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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.