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Finding the Fourth Proportional to 13,696.34, 18,900.80 and 7,729.94

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Solution

The fourth proportional to 13,696.34, 18,900.80 and 7,729.94 is: 10,667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.34 : 18,900.80 = 7,729.94 : x
  2. Step 2: Convert to fraction form
    13,696.34/18,900.80 = 7,729.94/x
  3. Step 3: Cross multiply
    13,696.34x = 18,900.80 × 7,729.94
  4. Step 4: Simplify right side
    13,696.34x = 146,102,049.95
  5. Step 5: Solve for x
    x = 146,102,049.95/13,696.34
  6. Step 6: Final answer
    x = 10,667.23

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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.