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Finding the Fourth Proportional to 20,174.66, 30,262.80 and 7,028.36

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Solution

The fourth proportional to 20,174.66, 30,262.80 and 7,028.36 is: 10,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.66 : 30,262.80 = 7,028.36 : x
  2. Step 2: Convert to fraction form
    20,174.66/30,262.80 = 7,028.36/x
  3. Step 3: Cross multiply
    20,174.66x = 30,262.80 × 7,028.36
  4. Step 4: Simplify right side
    20,174.66x = 212,697,853.01
  5. Step 5: Solve for x
    x = 212,697,853.01/20,174.66
  6. Step 6: Final answer
    x = 10,542.82

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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.