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Finding the Fourth Proportional to 27,524.32, 41,268.25 and 9,994.30

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Solution

The fourth proportional to 27,524.32, 41,268.25 and 9,994.30 is: 14,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.32 : 41,268.25 = 9,994.30 : x
  2. Step 2: Convert to fraction form
    27,524.32/41,268.25 = 9,994.30/x
  3. Step 3: Cross multiply
    27,524.32x = 41,268.25 × 9,994.30
  4. Step 4: Simplify right side
    27,524.32x = 412,447,270.98
  5. Step 5: Solve for x
    x = 412,447,270.98/27,524.32
  6. Step 6: Final answer
    x = 14,984.83

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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.