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Finding the Fourth Proportional to 13,550.74, 20,329.77 and 5,650.64

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Solution

The fourth proportional to 13,550.74, 20,329.77 and 5,650.64 is: 8,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,550.74 : 20,329.77 = 5,650.64 : x
  2. Step 2: Convert to fraction form
    13,550.74/20,329.77 = 5,650.64/x
  3. Step 3: Cross multiply
    13,550.74x = 20,329.77 × 5,650.64
  4. Step 4: Simplify right side
    13,550.74x = 114,876,211.55
  5. Step 5: Solve for x
    x = 114,876,211.55/13,550.74
  6. Step 6: Final answer
    x = 8,477.49

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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.