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Finding the Fourth Proportional to 20,438.31, 30,666.18 and 7,967.12

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Solution

The fourth proportional to 20,438.31, 30,666.18 and 7,967.12 is: 11,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.31 : 30,666.18 = 7,967.12 : x
  2. Step 2: Convert to fraction form
    20,438.31/30,666.18 = 7,967.12/x
  3. Step 3: Cross multiply
    20,438.31x = 30,666.18 × 7,967.12
  4. Step 4: Simplify right side
    20,438.31x = 244,321,022.91
  5. Step 5: Solve for x
    x = 244,321,022.91/20,438.31
  6. Step 6: Final answer
    x = 11,954.07

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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.