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Finding the Fourth Proportional to 13,609.92, 20,419.29 and 6,679.56

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Solution

The fourth proportional to 13,609.92, 20,419.29 and 6,679.56 is: 10,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.92 : 20,419.29 = 6,679.56 : x
  2. Step 2: Convert to fraction form
    13,609.92/20,419.29 = 6,679.56/x
  3. Step 3: Cross multiply
    13,609.92x = 20,419.29 × 6,679.56
  4. Step 4: Simplify right side
    13,609.92x = 136,391,872.71
  5. Step 5: Solve for x
    x = 136,391,872.71/13,609.92
  6. Step 6: Final answer
    x = 10,021.50

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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.