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Finding the Fourth Proportional to 20,480.64, 30,667.32 and 14,221.68

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Solution

The fourth proportional to 20,480.64, 30,667.32 and 14,221.68 is: 21,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,480.64 : 30,667.32 = 14,221.68 : x
  2. Step 2: Convert to fraction form
    20,480.64/30,667.32 = 14,221.68/x
  3. Step 3: Cross multiply
    20,480.64x = 30,667.32 × 14,221.68
  4. Step 4: Simplify right side
    20,480.64x = 436,140,811.50
  5. Step 5: Solve for x
    x = 436,140,811.50/20,480.64
  6. Step 6: Final answer
    x = 21,295.27

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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.