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Finding the Fourth Proportional to 20,694, 31,047.12 and 11,935.20

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Solution

The fourth proportional to 20,694, 31,047.12 and 11,935.20 is: 17,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694 : 31,047.12 = 11,935.20 : x
  2. Step 2: Convert to fraction form
    20,694/31,047.12 = 11,935.20/x
  3. Step 3: Cross multiply
    20,694x = 31,047.12 × 11,935.20
  4. Step 4: Simplify right side
    20,694x = 370,553,586.62
  5. Step 5: Solve for x
    x = 370,553,586.62/20,694
  6. Step 6: Final answer
    x = 17,906.33

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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.