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Finding the Fourth Proportional to 11,956.76, 17,944.50 and 8,284.76

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Solution

The fourth proportional to 11,956.76, 17,944.50 and 8,284.76 is: 12,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.76 : 17,944.50 = 8,284.76 : x
  2. Step 2: Convert to fraction form
    11,956.76/17,944.50 = 8,284.76/x
  3. Step 3: Cross multiply
    11,956.76x = 17,944.50 × 8,284.76
  4. Step 4: Simplify right side
    11,956.76x = 148,665,875.82
  5. Step 5: Solve for x
    x = 148,665,875.82/11,956.76
  6. Step 6: Final answer
    x = 12,433.63

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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.