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Finding the Fourth Proportional to 13,414.60, 20,121.90 and 9,696.70

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Solution

The fourth proportional to 13,414.60, 20,121.90 and 9,696.70 is: 14,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.60 : 20,121.90 = 9,696.70 : x
  2. Step 2: Convert to fraction form
    13,414.60/20,121.90 = 9,696.70/x
  3. Step 3: Cross multiply
    13,414.60x = 20,121.90 × 9,696.70
  4. Step 4: Simplify right side
    13,414.60x = 195,116,027.73
  5. Step 5: Solve for x
    x = 195,116,027.73/13,414.60
  6. Step 6: Final answer
    x = 14,545.05

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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.