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Finding the Fourth Proportional to 20,106.78, 30,122.09 and 13,423.12

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Solution

The fourth proportional to 20,106.78, 30,122.09 and 13,423.12 is: 20,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.78 : 30,122.09 = 13,423.12 : x
  2. Step 2: Convert to fraction form
    20,106.78/30,122.09 = 13,423.12/x
  3. Step 3: Cross multiply
    20,106.78x = 30,122.09 × 13,423.12
  4. Step 4: Simplify right side
    20,106.78x = 404,332,336.64
  5. Step 5: Solve for x
    x = 404,332,336.64/20,106.78
  6. Step 6: Final answer
    x = 20,109.26

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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.