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Finding the Fourth Proportional to 13,651.50, 20,477.24 and 4,292.20

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Solution

The fourth proportional to 13,651.50, 20,477.24 and 4,292.20 is: 6,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.50 : 20,477.24 = 4,292.20 : x
  2. Step 2: Convert to fraction form
    13,651.50/20,477.24 = 4,292.20/x
  3. Step 3: Cross multiply
    13,651.50x = 20,477.24 × 4,292.20
  4. Step 4: Simplify right side
    13,651.50x = 87,892,285.68
  5. Step 5: Solve for x
    x = 87,892,285.68/13,651.50
  6. Step 6: Final answer
    x = 6,438.29

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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.