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Finding the Fourth Proportional to 20,174.16, 30,262.05 and 7,027.86

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Solution

The fourth proportional to 20,174.16, 30,262.05 and 7,027.86 is: 10,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.16 : 30,262.05 = 7,027.86 : x
  2. Step 2: Convert to fraction form
    20,174.16/30,262.05 = 7,027.86/x
  3. Step 3: Cross multiply
    20,174.16x = 30,262.05 × 7,027.86
  4. Step 4: Simplify right side
    20,174.16x = 212,677,450.71
  5. Step 5: Solve for x
    x = 212,677,450.71/20,174.16
  6. Step 6: Final answer
    x = 10,542.07

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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.