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Finding the Fourth Proportional to 20,294.12, 30,440.82 and 7,816.85

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Solution

The fourth proportional to 20,294.12, 30,440.82 and 7,816.85 is: 11,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.12 : 30,440.82 = 7,816.85 : x
  2. Step 2: Convert to fraction form
    20,294.12/30,440.82 = 7,816.85/x
  3. Step 3: Cross multiply
    20,294.12x = 30,440.82 × 7,816.85
  4. Step 4: Simplify right side
    20,294.12x = 237,951,323.82
  5. Step 5: Solve for x
    x = 237,951,323.82/20,294.12
  6. Step 6: Final answer
    x = 11,725.14

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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.