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Finding the Fourth Proportional to 16,400.54, 22,632.26 and 9,230.87

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Solution

The fourth proportional to 16,400.54, 22,632.26 and 9,230.87 is: 12,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.54 : 22,632.26 = 9,230.87 : x
  2. Step 2: Convert to fraction form
    16,400.54/22,632.26 = 9,230.87/x
  3. Step 3: Cross multiply
    16,400.54x = 22,632.26 × 9,230.87
  4. Step 4: Simplify right side
    16,400.54x = 208,915,290.55
  5. Step 5: Solve for x
    x = 208,915,290.55/16,400.54
  6. Step 6: Final answer
    x = 12,738.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.