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Finding the Fourth Proportional to 13,467.20, 20,197.20 and 4,701.20

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Solution

The fourth proportional to 13,467.20, 20,197.20 and 4,701.20 is: 7,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.20 : 20,197.20 = 4,701.20 : x
  2. Step 2: Convert to fraction form
    13,467.20/20,197.20 = 4,701.20/x
  3. Step 3: Cross multiply
    13,467.20x = 20,197.20 × 4,701.20
  4. Step 4: Simplify right side
    13,467.20x = 94,951,076.64
  5. Step 5: Solve for x
    x = 94,951,076.64/13,467.20
  6. Step 6: Final answer
    x = 7,050.54

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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.