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Finding the Fourth Proportional to 13,592.50, 20,358.62 and 10,449.34

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Solution

The fourth proportional to 13,592.50, 20,358.62 and 10,449.34 is: 15,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.50 : 20,358.62 = 10,449.34 : x
  2. Step 2: Convert to fraction form
    13,592.50/20,358.62 = 10,449.34/x
  3. Step 3: Cross multiply
    13,592.50x = 20,358.62 × 10,449.34
  4. Step 4: Simplify right side
    13,592.50x = 212,734,142.31
  5. Step 5: Solve for x
    x = 212,734,142.31/13,592.50
  6. Step 6: Final answer
    x = 15,650.85

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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.