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Finding the Fourth Proportional to 20,171.38, 30,254.64 and 7,022.65

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Solution

The fourth proportional to 20,171.38, 30,254.64 and 7,022.65 is: 10,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171.38 : 30,254.64 = 7,022.65 : x
  2. Step 2: Convert to fraction form
    20,171.38/30,254.64 = 7,022.65/x
  3. Step 3: Cross multiply
    20,171.38x = 30,254.64 × 7,022.65
  4. Step 4: Simplify right side
    20,171.38x = 212,467,747.60
  5. Step 5: Solve for x
    x = 212,467,747.60/20,171.38
  6. Step 6: Final answer
    x = 10,533.13

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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.