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Finding the Fourth Proportional to 15,604.62, 23,402.07 and 5,213.94

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Solution

The fourth proportional to 15,604.62, 23,402.07 and 5,213.94 is: 7,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,604.62 : 23,402.07 = 5,213.94 : x
  2. Step 2: Convert to fraction form
    15,604.62/23,402.07 = 5,213.94/x
  3. Step 3: Cross multiply
    15,604.62x = 23,402.07 × 5,213.94
  4. Step 4: Simplify right side
    15,604.62x = 122,016,988.86
  5. Step 5: Solve for x
    x = 122,016,988.86/15,604.62
  6. Step 6: Final answer
    x = 7,819.29

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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.