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Finding the Fourth Proportional to 23,209.20, 34,805.52 and 8,414.28

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Solution

The fourth proportional to 23,209.20, 34,805.52 and 8,414.28 is: 12,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.20 : 34,805.52 = 8,414.28 : x
  2. Step 2: Convert to fraction form
    23,209.20/34,805.52 = 8,414.28/x
  3. Step 3: Cross multiply
    23,209.20x = 34,805.52 × 8,414.28
  4. Step 4: Simplify right side
    23,209.20x = 292,863,390.83
  5. Step 5: Solve for x
    x = 292,863,390.83/23,209.20
  6. Step 6: Final answer
    x = 12,618.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.