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Finding the Fourth Proportional to 13,096.27, 18,073.49 and 7,720.30

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Solution

The fourth proportional to 13,096.27, 18,073.49 and 7,720.30 is: 10,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.27 : 18,073.49 = 7,720.30 : x
  2. Step 2: Convert to fraction form
    13,096.27/18,073.49 = 7,720.30/x
  3. Step 3: Cross multiply
    13,096.27x = 18,073.49 × 7,720.30
  4. Step 4: Simplify right side
    13,096.27x = 139,532,764.85
  5. Step 5: Solve for x
    x = 139,532,764.85/13,096.27
  6. Step 6: Final answer
    x = 10,654.39

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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.