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Finding the Fourth Proportional to 20,174.66, 30,275.91 and 7,027.14

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Solution

The fourth proportional to 20,174.66, 30,275.91 and 7,027.14 is: 10,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.66 : 30,275.91 = 7,027.14 : x
  2. Step 2: Convert to fraction form
    20,174.66/30,275.91 = 7,027.14/x
  3. Step 3: Cross multiply
    20,174.66x = 30,275.91 × 7,027.14
  4. Step 4: Simplify right side
    20,174.66x = 212,753,058.20
  5. Step 5: Solve for x
    x = 212,753,058.20/20,174.66
  6. Step 6: Final answer
    x = 10,545.56

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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.