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Finding the Fourth Proportional to 20,325.90, 30,431.34 and 12,911.97

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Solution

The fourth proportional to 20,325.90, 30,431.34 and 12,911.97 is: 19,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,325.90 : 30,431.34 = 12,911.97 : x
  2. Step 2: Convert to fraction form
    20,325.90/30,431.34 = 12,911.97/x
  3. Step 3: Cross multiply
    20,325.90x = 30,431.34 × 12,911.97
  4. Step 4: Simplify right side
    20,325.90x = 392,928,549.14
  5. Step 5: Solve for x
    x = 392,928,549.14/20,325.90
  6. Step 6: Final answer
    x = 19,331.42

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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.