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Finding the Fourth Proportional to 20,106.57, 30,161.52 and 7,626.57

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Solution

The fourth proportional to 20,106.57, 30,161.52 and 7,626.57 is: 11,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.57 : 30,161.52 = 7,626.57 : x
  2. Step 2: Convert to fraction form
    20,106.57/30,161.52 = 7,626.57/x
  3. Step 3: Cross multiply
    20,106.57x = 30,161.52 × 7,626.57
  4. Step 4: Simplify right side
    20,106.57x = 230,028,943.59
  5. Step 5: Solve for x
    x = 230,028,943.59/20,106.57
  6. Step 6: Final answer
    x = 11,440.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.