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Finding the Fourth Proportional to 27,924.94, 41,885.35 and 8,205.04

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Solution

The fourth proportional to 27,924.94, 41,885.35 and 8,205.04 is: 12,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,924.94 : 41,885.35 = 8,205.04 : x
  2. Step 2: Convert to fraction form
    27,924.94/41,885.35 = 8,205.04/x
  3. Step 3: Cross multiply
    27,924.94x = 41,885.35 × 8,205.04
  4. Step 4: Simplify right side
    27,924.94x = 343,670,972.16
  5. Step 5: Solve for x
    x = 343,670,972.16/27,924.94
  6. Step 6: Final answer
    x = 12,306.95

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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.