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Finding the Fourth Proportional to 13,594.69, 20,388.11 and 3,734.29

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Solution

The fourth proportional to 13,594.69, 20,388.11 and 3,734.29 is: 5,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.69 : 20,388.11 = 3,734.29 : x
  2. Step 2: Convert to fraction form
    13,594.69/20,388.11 = 3,734.29/x
  3. Step 3: Cross multiply
    13,594.69x = 20,388.11 × 3,734.29
  4. Step 4: Simplify right side
    13,594.69x = 76,135,013.35
  5. Step 5: Solve for x
    x = 76,135,013.35/13,594.69
  6. Step 6: Final answer
    x = 5,600.35

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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.