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Finding the Fourth Proportional to 20,626, 30,944.28 and 6,775.12

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Solution

The fourth proportional to 20,626, 30,944.28 and 6,775.12 is: 10,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,626 : 30,944.28 = 6,775.12 : x
  2. Step 2: Convert to fraction form
    20,626/30,944.28 = 6,775.12/x
  3. Step 3: Cross multiply
    20,626x = 30,944.28 × 6,775.12
  4. Step 4: Simplify right side
    20,626x = 209,651,210.31
  5. Step 5: Solve for x
    x = 209,651,210.31/20,626
  6. Step 6: Final answer
    x = 10,164.41

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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.