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Finding the Fourth Proportional to 13,733.62, 18,951.60 and 7,766.54

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Solution

The fourth proportional to 13,733.62, 18,951.60 and 7,766.54 is: 10,717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.62 : 18,951.60 = 7,766.54 : x
  2. Step 2: Convert to fraction form
    13,733.62/18,951.60 = 7,766.54/x
  3. Step 3: Cross multiply
    13,733.62x = 18,951.60 × 7,766.54
  4. Step 4: Simplify right side
    13,733.62x = 147,188,359.46
  5. Step 5: Solve for x
    x = 147,188,359.46/13,733.62
  6. Step 6: Final answer
    x = 10,717.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.