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Finding the Fourth Proportional to 11,323.20, 16,951.20 and 8,414.40

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Solution

The fourth proportional to 11,323.20, 16,951.20 and 8,414.40 is: 12,596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.20 : 16,951.20 = 8,414.40 : x
  2. Step 2: Convert to fraction form
    11,323.20/16,951.20 = 8,414.40/x
  3. Step 3: Cross multiply
    11,323.20x = 16,951.20 × 8,414.40
  4. Step 4: Simplify right side
    11,323.20x = 142,634,177.28
  5. Step 5: Solve for x
    x = 142,634,177.28/11,323.20
  6. Step 6: Final answer
    x = 12,596.63

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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.