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Finding the Fourth Proportional to 11,960.84, 17,932.33 and 8,252.49

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Solution

The fourth proportional to 11,960.84, 17,932.33 and 8,252.49 is: 12,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.84 : 17,932.33 = 8,252.49 : x
  2. Step 2: Convert to fraction form
    11,960.84/17,932.33 = 8,252.49/x
  3. Step 3: Cross multiply
    11,960.84x = 17,932.33 × 8,252.49
  4. Step 4: Simplify right side
    11,960.84x = 147,986,374.00
  5. Step 5: Solve for x
    x = 147,986,374.00/11,960.84
  6. Step 6: Final answer
    x = 12,372.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.