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Finding the Fourth Proportional to 13,743.76, 18,966.27 and 7,775.38

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Solution

The fourth proportional to 13,743.76, 18,966.27 and 7,775.38 is: 10,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.76 : 18,966.27 = 7,775.38 : x
  2. Step 2: Convert to fraction form
    13,743.76/18,966.27 = 7,775.38/x
  3. Step 3: Cross multiply
    13,743.76x = 18,966.27 × 7,775.38
  4. Step 4: Simplify right side
    13,743.76x = 147,469,861.60
  5. Step 5: Solve for x
    x = 147,469,861.60/13,743.76
  6. Step 6: Final answer
    x = 10,729.95

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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.