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Finding the Fourth Proportional to 20,143.73, 30,212.14 and 5,354.14

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Solution

The fourth proportional to 20,143.73, 30,212.14 and 5,354.14 is: 8,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.73 : 30,212.14 = 5,354.14 : x
  2. Step 2: Convert to fraction form
    20,143.73/30,212.14 = 5,354.14/x
  3. Step 3: Cross multiply
    20,143.73x = 30,212.14 × 5,354.14
  4. Step 4: Simplify right side
    20,143.73x = 161,760,027.26
  5. Step 5: Solve for x
    x = 161,760,027.26/20,143.73
  6. Step 6: Final answer
    x = 8,030.29

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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.