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Finding the Fourth Proportional to 11,960.34, 17,931.58 and 8,251.99

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Solution

The fourth proportional to 11,960.34, 17,931.58 and 8,251.99 is: 12,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.34 : 17,931.58 = 8,251.99 : x
  2. Step 2: Convert to fraction form
    11,960.34/17,931.58 = 8,251.99/x
  3. Step 3: Cross multiply
    11,960.34x = 17,931.58 × 8,251.99
  4. Step 4: Simplify right side
    11,960.34x = 147,971,218.84
  5. Step 5: Solve for x
    x = 147,971,218.84/11,960.34
  6. Step 6: Final answer
    x = 12,371.82

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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.