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Finding the Fourth Proportional to 20,456.92, 30,685.79 and 6,416.65

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Solution

The fourth proportional to 20,456.92, 30,685.79 and 6,416.65 is: 9,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,456.92 : 30,685.79 = 6,416.65 : x
  2. Step 2: Convert to fraction form
    20,456.92/30,685.79 = 6,416.65/x
  3. Step 3: Cross multiply
    20,456.92x = 30,685.79 × 6,416.65
  4. Step 4: Simplify right side
    20,456.92x = 196,899,974.40
  5. Step 5: Solve for x
    x = 196,899,974.40/20,456.92
  6. Step 6: Final answer
    x = 9,625.10

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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.