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Finding the Fourth Proportional to 17,375.72, 23,956.98 and 11,777

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Solution

The fourth proportional to 17,375.72, 23,956.98 and 11,777 is: 16,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,375.72 : 23,956.98 = 11,777 : x
  2. Step 2: Convert to fraction form
    17,375.72/23,956.98 = 11,777/x
  3. Step 3: Cross multiply
    17,375.72x = 23,956.98 × 11,777
  4. Step 4: Simplify right side
    17,375.72x = 282,141,353.46
  5. Step 5: Solve for x
    x = 282,141,353.46/17,375.72
  6. Step 6: Final answer
    x = 16,237.68

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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.