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Finding the Fourth Proportional to 20,105.70, 30,143.97 and 13,515.54

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Solution

The fourth proportional to 20,105.70, 30,143.97 and 13,515.54 is: 20,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.70 : 30,143.97 = 13,515.54 : x
  2. Step 2: Convert to fraction form
    20,105.70/30,143.97 = 13,515.54/x
  3. Step 3: Cross multiply
    20,105.70x = 30,143.97 × 13,515.54
  4. Step 4: Simplify right side
    20,105.70x = 407,412,032.29
  5. Step 5: Solve for x
    x = 407,412,032.29/20,105.70
  6. Step 6: Final answer
    x = 20,263.51

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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.