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Finding the Fourth Proportional to 14,550.37, 20,078.97 and 8,894.59

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Solution

The fourth proportional to 14,550.37, 20,078.97 and 8,894.59 is: 12,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.37 : 20,078.97 = 8,894.59 : x
  2. Step 2: Convert to fraction form
    14,550.37/20,078.97 = 8,894.59/x
  3. Step 3: Cross multiply
    14,550.37x = 20,078.97 × 8,894.59
  4. Step 4: Simplify right side
    14,550.37x = 178,594,105.38
  5. Step 5: Solve for x
    x = 178,594,105.38/14,550.37
  6. Step 6: Final answer
    x = 12,274.20

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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.