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Finding the Fourth Proportional to 20,438.34, 30,635.70 and 11,654.34

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Solution

The fourth proportional to 20,438.34, 30,635.70 and 11,654.34 is: 17,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.34 : 30,635.70 = 11,654.34 : x
  2. Step 2: Convert to fraction form
    20,438.34/30,635.70 = 11,654.34/x
  3. Step 3: Cross multiply
    20,438.34x = 30,635.70 × 11,654.34
  4. Step 4: Simplify right side
    20,438.34x = 357,038,863.94
  5. Step 5: Solve for x
    x = 357,038,863.94/20,438.34
  6. Step 6: Final answer
    x = 17,469.07

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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.