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Finding the Fourth Proportional to 14,640.92, 20,204.28 and 7,926.42

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Solution

The fourth proportional to 14,640.92, 20,204.28 and 7,926.42 is: 10,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.92 : 20,204.28 = 7,926.42 : x
  2. Step 2: Convert to fraction form
    14,640.92/20,204.28 = 7,926.42/x
  3. Step 3: Cross multiply
    14,640.92x = 20,204.28 × 7,926.42
  4. Step 4: Simplify right side
    14,640.92x = 160,147,609.08
  5. Step 5: Solve for x
    x = 160,147,609.08/14,640.92
  6. Step 6: Final answer
    x = 10,938.36

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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.