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Finding the Fourth Proportional to 20,097.68, 30,150.84 and 6,772

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Solution

The fourth proportional to 20,097.68, 30,150.84 and 6,772 is: 10,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.68 : 30,150.84 = 6,772 : x
  2. Step 2: Convert to fraction form
    20,097.68/30,150.84 = 6,772/x
  3. Step 3: Cross multiply
    20,097.68x = 30,150.84 × 6,772
  4. Step 4: Simplify right side
    20,097.68x = 204,181,488.48
  5. Step 5: Solve for x
    x = 204,181,488.48/20,097.68
  6. Step 6: Final answer
    x = 10,159.46

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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.