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Finding the Fourth Proportional to 23,197.80, 34,796.52 and 8,406.68

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Solution

The fourth proportional to 23,197.80, 34,796.52 and 8,406.68 is: 12,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.80 : 34,796.52 = 8,406.68 : x
  2. Step 2: Convert to fraction form
    23,197.80/34,796.52 = 8,406.68/x
  3. Step 3: Cross multiply
    23,197.80x = 34,796.52 × 8,406.68
  4. Step 4: Simplify right side
    23,197.80x = 292,523,208.75
  5. Step 5: Solve for x
    x = 292,523,208.75/23,197.80
  6. Step 6: Final answer
    x = 12,609.95

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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.