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Finding the Fourth Proportional to 17,546.46, 24,212.00 and 9,992.81

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Solution

The fourth proportional to 17,546.46, 24,212.00 and 9,992.81 is: 13,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.46 : 24,212.00 = 9,992.81 : x
  2. Step 2: Convert to fraction form
    17,546.46/24,212.00 = 9,992.81/x
  3. Step 3: Cross multiply
    17,546.46x = 24,212.00 × 9,992.81
  4. Step 4: Simplify right side
    17,546.46x = 241,945,744.70
  5. Step 5: Solve for x
    x = 241,945,744.70/17,546.46
  6. Step 6: Final answer
    x = 13,788.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.