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Finding the Fourth Proportional to 20,105.10, 30,154.05 and 12,696.30

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Solution

The fourth proportional to 20,105.10, 30,154.05 and 12,696.30 is: 19,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.10 : 30,154.05 = 12,696.30 : x
  2. Step 2: Convert to fraction form
    20,105.10/30,154.05 = 12,696.30/x
  3. Step 3: Cross multiply
    20,105.10x = 30,154.05 × 12,696.30
  4. Step 4: Simplify right side
    20,105.10x = 382,844,865.02
  5. Step 5: Solve for x
    x = 382,844,865.02/20,105.10
  6. Step 6: Final answer
    x = 19,042.18

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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.